<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd">
<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article">
 <front>
  <journal-meta>
   <journal-id journal-id-type="publisher-id">
    opj
   </journal-id>
   <journal-title-group>
    <journal-title>
     Optics and Photonics Journal
    </journal-title>
   </journal-title-group>
   <issn pub-type="epub">
    2160-8881
   </issn>
   <issn publication-format="print">
    2160-889X
   </issn>
   <publisher>
    <publisher-name>
     Scientific Research Publishing
    </publisher-name>
   </publisher>
  </journal-meta>
  <article-meta>
   <article-id pub-id-type="doi">
    10.4236/opj.2024.141001
   </article-id>
   <article-id pub-id-type="publisher-id">
    opj-134884
   </article-id>
   <article-categories>
    <subj-group subj-group-type="heading">
     <subject>
      Articles
     </subject>
    </subj-group>
    <subj-group subj-group-type="Discipline-v2">
     <subject>
      Chemistry 
     </subject>
     <subject>
       Materials Science, Engineering, Physics 
     </subject>
     <subject>
       Mathematics
     </subject>
    </subj-group>
   </article-categories>
   <title-group>
    First-Principles Calculations on Novel Rb-Based Halide Double Perovskites Alloys for Spintronics and Optoelectronic Applications
   </title-group>
   <contrib-group>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Saadi
      </surname>
      <given-names>
       Berri
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref> 
     <xref ref-type="aff" rid="aff2"> 
      <sup>2</sup>
     </xref>
    </contrib>
    <contrib contrib-type="author" xlink:type="simple">
     <name name-style="western">
      <surname>
       Nadir
      </surname>
      <given-names>
       Bouarissa
      </given-names>
     </name> 
     <xref ref-type="aff" rid="aff1"> 
      <sup>1</sup>
     </xref>
    </contrib>
   </contrib-group> 
   <aff id="aff1">
    <addr-line>
     aFaculty of Science, University of M’sila, M’sila, Algeria
    </addr-line> 
   </aff> 
   <aff id="aff2">
    <addr-line>
     aLaboratory for Developing New Materials and their Characterizations, University of Setif 1, Setif, Algeria
    </addr-line> 
   </aff> 
   <pub-date pub-type="epub">
    <day>
     08
    </day> 
    <month>
     07
    </month>
    <year>
     2024
    </year>
   </pub-date> 
   <volume>
    14
   </volume> 
   <issue>
    01
   </issue>
   <fpage>
    1
   </fpage>
   <lpage>
    22
   </lpage>
   <history>
    <date date-type="received">
     <day>
      19,
     </day>
     <month>
      June
     </month>
     <year>
      2024
     </year>
    </date>
    <date date-type="published">
     <day>
      28,
     </day>
     <month>
      June
     </month>
     <year>
      2024
     </year> 
    </date> 
    <date date-type="accepted">
     <day>
      28,
     </day>
     <month>
      January
     </month>
     <year>
      2024
     </year> 
    </date>
   </history>
   <permissions>
    <copyright-statement>
     © Copyright 2014 by authors and Scientific Research Publishing Inc. 
    </copyright-statement>
    <copyright-year>
     2014
    </copyright-year>
    <license>
     <license-p>
      This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/
     </license-p>
    </license>
   </permissions>
   <abstract>
    The outcomes of computational study of electronic, magnetic and optical spectra for A
    <sub>2</sub>BX
    <sub>6</sub> (A = Rb; B = Tc, Pb, Pt, Sn, W, Ir, Ta, Sb, Te, Se, Mo, Mn, Ti, Zr and X = Cl, Br) materials have been proceeded utilizing Vanderbilt Ultra Soft Pseudo Potential (US-PP) process. The Rb
    <sub>2</sub>PbBr
    <sub>6</sub> and Rb
    <sub>2</sub>PbCl
    <sub>6</sub> are found to be a (Г-Г) semiconductors with energy gaps of 0.275 and 1.142 eV, respectively making them promising photovoltaic materials. The metallic behavior of the materials for Rb
    <sub>2</sub>BX
    <sub>6</sub> (B = Tc, W, Ir, Ta, Mn, Sb, Mo) has been confirmed showing the attendance of conducting lineaments. The dielectric function is found to be large close to the ultraviolet districts (3.10 - 4.13 eV). The extinction coefficient of the Rb
    <sub>2</sub>BX
    <sub>6</sub> has the ability to be used for implements. The band structures and density of states ensure the magnetic semiconductors’ nature of the Rb
    <sub>2</sub>Mn (Cl, Br)
    <sub>6</sub> perovskites. The total calculated magnetic moment of Rb
    <sub>2</sub>MnCl
    <sub>6</sub> and Rb
    <sub>2</sub>MnB
    <sub>6</sub> is 3.00μ
    <sub>β</sub>. Advanced spintronic technology requires room-temperature ferromagnetism. The present work confirms that, bromine and chlorine-founded double perovskites are extremely attractive for photovoltaic and optoelectronic devices.
   </abstract>
   <kwd-group> 
    <kwd>
     Halide Double Perovskites
    </kwd> 
    <kwd>
      Density Functional Theory
    </kwd> 
    <kwd>
      Spintronic
    </kwd> 
    <kwd>
      Photovoltaic Solar Cells
    </kwd>
   </kwd-group>
  </article-meta>
 </front>
 <body>
  <sec id="s1">
   <title>1. Introduction</title>
   <p>The materials A<sub>2</sub>BX<sub>6</sub> are multi-band gap materials that offer the possibility of increasing the efficiency of solar cells. In fact, solar cells based on these materials could reach theoretical efficiencies up to 63.2% <xref ref-type="bibr" rid="scirp.134884-1">
     [1]
    </xref> <xref ref-type="bibr" rid="scirp.134884-2">
     [2]
    </xref>. Moreover, intermediate-band materials are characterized by splitting band gaps into two or more sub-band gaps by narrow intermediate bands and have been the focus of recent studies <xref ref-type="bibr" rid="scirp.134884-3">
     [3]
    </xref> <xref ref-type="bibr" rid="scirp.134884-4">
     [4]
    </xref>. In intermediate-band materials, an electron is promoted from the valence band to the conduction band through the intermediate-band. Upon absorption of sub-band gap-energy photons, the electrons transit from valence band to conduction band and later from the intermediate-band to conduction band. By adopting a hypothesis similar to that of Shockley and Queisser <xref ref-type="bibr" rid="scirp.134884-5">
     [5]
    </xref>, it was shown in 1997 <xref ref-type="bibr" rid="scirp.134884-1">
     [1]
    </xref> that balance-limiting efficiencies of 63.2% for intermediate-band solar cells and 41% for single-band gap solar cells can be achieved at a concentration of 46,050 suns at earth and sun temperatures of 300 and 6000 K, respectively. These perovskites are being utilized in third-generation solar cells and photovoltaic technology. The high absorption, low reflectivity, high optical conductivity, tunable narrow band gaps and high PCE make them promising materials for light-emitting diodes, detectors, absorbers, scintillators, energy storage devices, thermoelectric generators and solar cells <xref ref-type="bibr" rid="scirp.134884-6">
     [6]
    </xref>. The humidity, toxicity, moisture and temperature sensitivity are some of the challenges for commercialization of cubic perovskites. Therefore different variants of cubic perovskites are being reported in literature. Lead-free thallium-based cubic perovskites TlSnX<sub>3</sub> (X = Cl, Br, I) were explored by Pingak et al <xref ref-type="bibr" rid="scirp.134884-7">
     [7]
    </xref>.</p>
   <p>A new mesoporous carbon nano-structured material was ready and characterized by scanning electron microscopy, transmission electron microscopy, Raman spectroscopy, thermo-gravimetry, and X-ray diffractometry. The material exhibited large speed and great adsorption capacities of 827.5 and 2484.5 mg∙g<sup>–1</sup> for methyl orange (MO) and malachite green (MG) dyes in 10 min. It was situated that MO and MG adsorption was limited by chemical interactions and blended diffusion. Hence, it can be finished that the adsorbent offered herein had great speed and great adsorption capacity. Thus, it can be regarded as promising in eliminating the mentioned dye pollutants <xref ref-type="bibr" rid="scirp.134884-8">
     [8]
    </xref>. Likewise, the speeded-up carbon was got ready by a green oncoming from pomegranate peel coated with zero-valent iron nanoparticles (AC-nZVI) and promoted as adsorbent for the suppression of amoxicillin from aqueous solution. The reusability of the adsorbent equally disclosed that the adsorption efficiency diminished from 83.54% to 50.79% after five consecutive duplications. Global, taking into account the fine productivity, ratification, environmental friendliness, and right regeneration, AC-nZVI can be presented as a promising absorbent for amoxicillin from aquatic environments <xref ref-type="bibr" rid="scirp.134884-9">
     [9]
    </xref>. On the other hand, in diverse laboratory conditions, Ni<sup>2+</sup> was studied and isolated in tone from aquatic solutions using Jordanian natural zeolite (JNZ). The impacts of time of interaction, initial metal concentration, adsorbent dose concentration and temperature were investigated in the suppression experiments. The adsorption efficiency was examined in 153.846 mg∙g<sup>−1</sup>. The JNZ adsorbent’s equilibrium adsorption potential was calculated and extrapolated utilizing the Langmuir and Freundlich isotherm models. The outcomes point that the experimental results were ameliorated matched utilizing Langmuir model. The adsorption conduct of JNZ for the removal of Ni<sup>2+</sup> was well-depicted utilizing the pseudo-second-order kinetic model <xref ref-type="bibr" rid="scirp.134884-10">
     [10]
    </xref>.</p>
   <p>The arrangements of atoms and structures can explain the chemical and physical properties of materials. An important property can be obtained on the rigidity, strength and toughness of the materials under study <xref ref-type="bibr" rid="scirp.134884-11">
     [11]
    </xref> <xref ref-type="bibr" rid="scirp.134884-12">
     [12]
    </xref>. Also, the optical properties of these materials are given important information on such several aspects of their physical properties <xref ref-type="bibr" rid="scirp.134884-13">
     [13]
    </xref> <xref ref-type="bibr" rid="scirp.134884-14">
     [14]
    </xref>. In fact, the physical properties are dependent on the interaction of electromagnetic radiation with matter. This is related to the radiation wavelength and frequency and to other material properties. The knowledge of these properties is an important information for the comprehension of the interaction of phonon and electron and for the statement of the nature of the material. Furthermore, this will give a useful application for determining the microelectronic properties of the materials for applications of devices <xref ref-type="bibr" rid="scirp.134884-15">
     [15]
    </xref>-<xref ref-type="bibr" rid="scirp.134884-23">
     [23]
    </xref>.</p>
   <p>Perovskites are fascinating solids that have received a great deal of attention in recent years due to the fact that they can be utilized in a diverse selection of thermoelectric devices <xref ref-type="bibr" rid="scirp.134884-24">
     [24]
    </xref>. (Cs, Br, K)-based halide double perovskites show tremendous potential for spintronic devices such as quantum computers, quantum valves and also magnetic memory devices <xref ref-type="bibr" rid="scirp.134884-25">
     [25]
    </xref>-<xref ref-type="bibr" rid="scirp.134884-27">
     [27]
    </xref>. This is due to the fact that they have been explored as low-cost magnetic things. Despite all the benefits of spintronic devices and their uses, there are still two significant obstacles to overcome: high-temperature phase instability and magnetic ion clustering. The first problem has been partially solved because recent research has made a significant contribution to tenable solutions for the Curie temperature issue. The clustering which is the second problem, is still a focus of research, though <xref ref-type="bibr" rid="scirp.134884-28">
     [28]
    </xref> <xref ref-type="bibr" rid="scirp.134884-29">
     [29]
    </xref>. Moving forward, understanding the materials’ quantum nature and room-temperature magnetic properties is crucial to test the materials’ appropriateness for spintronic applications <xref ref-type="bibr" rid="scirp.134884-30">
     [30]
    </xref> <xref ref-type="bibr" rid="scirp.134884-31">
     [31]
    </xref>. Recently, Retuerto et al. reported a new double perovskite Ca<sub>2</sub>CrSbO<sub>6</sub> compound that exhibited strong ferromagnetism below Tc = 13K <xref ref-type="bibr" rid="scirp.134884-32">
     [32]
    </xref>. Bouras et al. <xref ref-type="bibr" rid="scirp.134884-33">
     [33]
    </xref> studied the electronic, optical, and elastic features of A<sub>2</sub>PtH<sub>6</sub> (A = Rb, Cs and K) and revealed that both materials are direct Eg semi-conductors. Jong et al. <xref ref-type="bibr" rid="scirp.134884-34">
     [34]
    </xref> revealed the structural, and optoelectronic features of K<sub>2</sub>SnX<sub>6</sub> (X = I, Cl, Br), which demonstrated both materials as semiconductors. Several other double perovskite materials are researched and published under density functional theory (DFT) study <xref ref-type="bibr" rid="scirp.134884-35">
     [35]
    </xref>-<xref ref-type="bibr" rid="scirp.134884-40">
     [40]
    </xref> for electronic, optical, elastic and thermoelectric properties in different varieties of correlation potentials. The present study reports on the structural, electronic, magnetic, and optical properties of A<sub>2</sub>BX<sub>6</sub> (A = Rb; B = Tc, Pb, Pt, Sn, W, Ir, Ta, Sb, Te, Se, Mo, Mn, Ti, Zr and X = Cl, Br) materials with a cubic structure. The novelty of the work is an investigation of Ab Initio calculations on novel Rb-based halide double perovskites alloys for spintronics, optoelectronic and photovoltaic applications. The computations are performed using a computer program CASTEP (Cambridge Serial Total Energy Package). The treatment of the exchange-correlation potential has been made using the generalized gradient approximation (GGA) within the GGA approach according to Perdew-Burke- Ernzerhof (PBE) function and the functional density of Heyd, Scuseria, and Ernzerhof (HSE06). More details about the calculations which could be desirable for some photovoltaic and microstructure applications have been given in Sections 2 and 3 of the present paper.</p>
  </sec><sec id="s2">
   <title>2. Computational Method</title>
   <p>
    <xref ref-type="bibr" rid="scirp.134884-"></xref>We utilized the CASTEP code within the Materials Studio Software, in employing the DFT framework. In this study, we employed the GGA with PBE schemes for calculating the exchange and correlation potentials <xref ref-type="bibr" rid="scirp.134884-40">
     [40]
    </xref>. GGA with PBE functional is a widely used approximation for evaluating electronic exchange-correlation potentials, known to perform well across a wide range of systems. The HSE06 is worn to regulate the energy band gap <xref ref-type="bibr" rid="scirp.134884-41">
     [41]
    </xref>. The Vanderbilt-type ultrasoft pseudo-potential <xref ref-type="bibr" rid="scirp.134884-42">
     [42]
    </xref> was utilized to calculate the geometrical structure and physical properties. The integration of the Brillouin zone is achieved utilizing a Monkhorst-Pack grid of a particular 11 × 11 × 11 k-points with a cutoff of 380 eV which is worn for the plane-wave basis aggregate. To calculate optical properties, compact Monkhorst-Pack special k-points are employed. A 30 × 30 × 30 special k-points mesh is requisite for A<sub>2</sub>BX<sub>6</sub> compounds.</p>
   <p>The determination of optical characteristics of perovskite materials is very useful in explaining solid-state electronic structure and hence essential for their applications such as in optoelectronics and nano-electronics. The material response to the incoming radiations is completely measured via various energy dependent parameters including, dielectric function ε(ω), optical conductivity σ(ω), reflectivity R(ω), index of refraction n(ω), coefficients of extinction k(ω) and absorption coefficient spectra α(ω). For a medium, the ε(ω) is given by <xref ref-type="bibr" rid="scirp.134884-43">
     [43]
    </xref> <xref ref-type="bibr" rid="scirp.134884-44">
     [44]
    </xref>,</p>
   <p>
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   <p>The refractive index n(ω), extinction coefficient k(ω), reflectivity R(ω), and absorption coefficient spectra α(ω) have been computed using the following formula <xref ref-type="bibr" rid="scirp.134884-45">
     [45]
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     [48]
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           2 
         </mn> 
        </msup> 
       </mrow> 
      </mfrac> 
     </mrow> 
    </math>(4)</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <mi>
        α 
      </mi> 
      <mrow> 
       <mo>
         ( 
       </mo> 
       <mi>
         ω 
       </mi> 
       <mo>
         ) 
       </mo> 
      </mrow> 
      <mo>
        = 
      </mo> 
      <mfrac> 
       <mrow> 
        <mn>
          4 
        </mn> 
        <mi>
          π 
        </mi> 
        <mi>
          k 
        </mi> 
        <mrow> 
         <mo>
           ( 
         </mo> 
         <mi>
           ω 
         </mi> 
         <mo>
           ) 
         </mo> 
        </mrow> 
       </mrow> 
       <mi>
         λ 
       </mi> 
      </mfrac> 
     </mrow> 
    </math> or 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <mi>
        α 
      </mi> 
      <mrow> 
       <mo>
         ( 
       </mo> 
       <mi>
         ω 
       </mi> 
       <mo>
         ) 
       </mo> 
      </mrow> 
      <mo>
        = 
      </mo> 
      <mn>
        2 
      </mn> 
      <mi>
        ω 
      </mi> 
      <mi>
        k 
      </mi> 
      <mo>
        = 
      </mo> 
      <msqrt> 
       <mn>
         2 
       </mn> 
      </msqrt> 
      <mi>
        ω 
      </mi> 
      <msup> 
       <mrow> 
        <mrow> 
         <mo>
           [ 
         </mo> 
         <mrow> 
          <msubsup> 
           <mi>
             ε 
           </mi> 
           <mn>
             1 
           </mn> 
           <mn>
             2 
           </mn> 
          </msubsup> 
          <mrow> 
           <mo>
             ( 
           </mo> 
           <mi>
             ω 
           </mi> 
           <mo>
             ) 
           </mo> 
          </mrow> 
          <mo>
            + 
          </mo> 
          <msubsup> 
           <mi>
             ε 
           </mi> 
           <mn>
             2 
           </mn> 
           <mn>
             2 
           </mn> 
          </msubsup> 
          <mrow> 
           <mo>
             ( 
           </mo> 
           <mi>
             ω 
           </mi> 
           <mo>
             ) 
           </mo> 
          </mrow> 
         </mrow> 
         <mo>
           ] 
         </mo> 
        </mrow> 
       </mrow> 
       <mrow> 
        <mrow> 
         <mn>
           1 
         </mn> 
         <mo>
           / 
         </mo> 
         <mn>
           2 
         </mn> 
        </mrow> 
       </mrow> 
      </msup> 
     </mrow> 
    </math>(5)</p>
  </sec><sec id="s3">
   <title>3. Results and Discussion</title>
   <p>The cubic A<sub>2</sub>BX<sub>6</sub> perovskites crystallize in space group number 225 
    <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"> <mrow> 
      <mtext>
        Fm 
      </mtext> 
      <mover accent="true"> 
       <mn>
         3 
       </mn> 
       <mo>
         ¯ 
       </mo> 
      </mover> 
      <mtext>
        m 
      </mtext> 
     </mrow> 
    </math> <xref ref-type="bibr" rid="scirp.134884-49">
     [49]
    </xref>. A and B location cations possesses Wyckoff’s locations 8e (1/4, 1/4, 1/4) and 4b (0, 0, 0), respectively, whereas the location of anion occupies 24a (u, 0, 0) site. u is slightly separate (changing about 0.24) for dissimilar structures. The lattice constant a (Å), total energy, bulk modulus (B) and the formation energy for the materials A<sub>2</sub>BX<sub>6</sub> (A = Rb; B = Tc, Pb, Pt, Sn, W, Ir, Ta, Sb, Te, Se, Mo, Mn, Ti, Zr and X = Cl, Br) computed using the GGA-PBE approximation are shown in <xref ref-type="table" rid="table1">
     Table 1
    </xref>. Also exhibited for comparison are the lattice constants given by experiments <xref ref-type="bibr" rid="scirp.134884-50">
     [50]
    </xref>-<xref ref-type="bibr" rid="scirp.134884-53">
     [53]
    </xref>. We remark that our calculated results regarding the lattice constant are in very good agreement with those of experiments when using the GGA-PBE approximation. This table holds as well the inputs which are disposable in the written works for assimilation <xref ref-type="bibr" rid="scirp.134884-50">
     [50]
    </xref>-<xref ref-type="bibr" rid="scirp.134884-64">
     [64]
    </xref>. The results concerning a (Å) are found to be within 2% slighter than those of experiment. This exhibits the substantially of introducing calculations in extra computations of other physical properties of interest. <xref ref-type="table" rid="table1">
     Table 1
    </xref> clearly indicates that cubic A<sub>2</sub>BX<sub>6</sub> perovskites have negative formation energy, implying their chemical stability. As a result, the materials can be synthesized experimentally at normal conditions.</p>
   <table-wrap id="table1">
    <label>
     <xref ref-type="table" rid="table1">
      Table 1
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.134884-"></xref>Table 1. Lattice constants a (Å), bulk modulus B (GPa), Formation energy (eV/atom), energy band-gap Eg (eV) and the total energy E<sub>T</sub> (eV) of A<sub>2</sub>BX<sub>6</sub> compounds.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="12.49%"><p style="text-align:center">Compounds</p></td> 
      <td class="custom-bottom-td acenter" width="14.39%"><p style="text-align:center">References</p></td> 
      <td class="custom-bottom-td acenter" width="11.87%"><p style="text-align:center">a (Å)</p></td> 
      <td class="custom-bottom-td acenter" width="11.87%"><p style="text-align:center">B (GPa)</p></td> 
      <td class="custom-bottom-td acenter" width="13.22%"><p style="text-align:center">E<sub>tot</sub> (eV)</p></td> 
      <td class="custom-bottom-td acenter" width="16.51%"><p style="text-align:center">Formation energy</p><p style="text-align:center">(eV/atom)</p></td> 
      <td class="custom-bottom-td acenter" width="9.35%"><p style="text-align:center">Eg (eV)</p></td> 
      <td class="custom-bottom-td acenter" width="10.30%"><p style="text-align:center">Type</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>TcCl<sub>6</sub></p></td> 
      <td class="custom-top-td acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="custom-top-td acenter" width="11.87%"><p style="text-align:center">10.208</p></td> 
      <td class="custom-top-td acenter" width="11.87%"><p style="text-align:center">19.815</p></td> 
      <td class="custom-top-td acenter" width="13.22%"><p style="text-align:center">−5986.587</p></td> 
      <td class="custom-top-td acenter" width="16.51%"><p style="text-align:center">−2.26</p></td> 
      <td class="custom-top-td acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="custom-top-td acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>TcBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.823</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">20.238</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−5624.761</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−1.35</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>PbCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.586</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">23.032</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−5436.940</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−4.20</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">1.142</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>PbBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">11.214</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">18.408</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−5180.960</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−3.32</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">0.275</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>PtCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.263</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">15.078</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−4495.036</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−2.28</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">1.916</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>PtBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.833</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">19.289</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−4239.236</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−1.18</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">1.230</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>SnCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.484</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">24.810</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−3874.482</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−2.08</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">2.380</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>SnBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">11.117</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">24.132</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−3618.082</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−2.65</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">1.193</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>WCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.244</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">24.757</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−5711.917</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−4.62</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>WBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.657</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">25.575</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−5832.267</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−3.55</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>IrCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.239</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">22.764</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−4335.360</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−2.64</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>IrBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.759</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">24.237</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−4672.258</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−4.18</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>TaCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.412</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">16.708</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−3916.900</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−4.64</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>TaBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.753</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">18.157</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−3620.145</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−3.32</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>MnCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.082</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">21.374</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−4430.466</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−4.72</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-50">
         [50]
        </xref></p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">9.838</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>MnBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.567</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">26.157</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−4862.127</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−3.30</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>SbCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">10.753</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">18.246</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−3928.819</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−3.32</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>SbBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">11.145</p></td> 
      <td class="acenter" width="11.87%"><p style="text-align:center">19.135</p></td> 
      <td class="acenter" width="13.22%"><p style="text-align:center">−3842.245</p></td> 
      <td class="acenter" width="16.51%"><p style="text-align:center">−4.22</p></td> 
      <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <p>Continued</p>
   <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>TeCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.300</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">19.320</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−3999.619</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−3.98</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">2.729</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-51">
        [51]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.233</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>TeBr<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">11.287</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">23.452</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−3744.000</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−2.25</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">2.032</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-52">
        [52]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.713</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>SeCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.445</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">22.294</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−40356.786</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−4.10</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">2.581</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-53">
        [53]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.978</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>SeBr<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.961</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">27.189</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−3780.168</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−3.28</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">1.760</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>MoCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.258</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">14.893</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−5715.100</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−4.27</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>MoBr<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.745</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">13.874</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−5246.632</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−3.11</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>TiCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.296</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">17.535</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−5385.347</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−2.29</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">2.193</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>TiBr<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.849</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">16.553</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−5128.338</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−3.99</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">1.545</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>ZrCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.558</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">19.565</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−5064.433</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−3.97</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">3.617</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>ZrBr<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">11.107</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">16.351</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−4807.675</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−4.31</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">2.776</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Rb<sub>2</sub>SnI<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-54">
        [54]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">11.620</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-55">
        [55]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">11.630</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">19.55</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">1.19</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>PdCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-56">
        [56]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.000</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">28.7</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">2.00</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>PdBr<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Present work</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.750</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">20.9</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">−2.67</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">1.30</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Cs<sub>2</sub>SeCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-57">
        [57]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.26</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">2.790</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.567</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">29.589</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−3816.773</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Cs<sub>2</sub>SnCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-58">
        [58]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.3552</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.646</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">33.175</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−3655.474</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Cs<sub>2</sub>TaCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-58">
        [58]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.271</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.490</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">30.855</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−3697.998</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Cs<sub>2</sub>TiCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-54">
        [54]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.445</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.619</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">31.503</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−3781.054</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">2.284</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Cs<sub>2</sub>WCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-54">
        [54]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.219</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.473</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">29.832</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−5166.458</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">Cs<sub>2</sub>ZrCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-59">
        [59]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.245</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.441</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">32.128</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−5492.849</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">3.731</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>MoCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-60">
        [60]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.428</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.816</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−4670.072</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>OsCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-61">
        [61]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.850</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.994</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
   </table>
   <p>Continued</p>
   <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>PdCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-62">
        [62]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.729</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">32.809</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−7325.458</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.916</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">1.131</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>PtCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">EXP. <xref ref-type="bibr" rid="scirp.134884-63">
        [63]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.7097</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center"></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.988</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">33.809</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−4814.825</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">1.96</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">Indirect</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>ReCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.990</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">36.388</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−4734.604</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>RuCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.965</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">31.215</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−6475.831</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>SnCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.956</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">36.304</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−6618.537</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">direct</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>TaCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.166</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">30.575</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−4113.999</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>TcCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">10.127</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">27.269</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−4156.545</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
    <tr> 
     <td class="acenter" width="12.49%"><p style="text-align:center">K<sub>2</sub>TiCl<sub>6</sub></p></td> 
     <td class="acenter" width="14.39%"><p style="text-align:center">Others <xref ref-type="bibr" rid="scirp.134884-64">
        [64]
       </xref></p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">9.980</p></td> 
     <td class="acenter" width="11.87%"><p style="text-align:center">32.946</p></td> 
     <td class="acenter" width="13.22%"><p style="text-align:center">−6226.061</p></td> 
     <td class="acenter" width="16.51%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="9.35%"><p style="text-align:center">-</p></td> 
     <td class="acenter" width="10.30%"><p style="text-align:center">-</p></td> 
    </tr> 
   </table>
   <p>To gain insights for the electronic structure of entitled materials, we have calculated the band structure and density of the states of these materials using GGA and HSE06 methods. The energy band represents quasi-continuous permissible energy levels separated by the forbidden zone. In order to characterize the electron and transport properties of solids, the Fermi level (E<sub>F</sub>) position is taken to be critical. <xref ref-type="fig" rid="fig1">
     Figure 1
    </xref> shows the GGA-PBE band configurations of entitled materials. Along W-L--X-W-K symmetry direction, the band structure has been estimated employing different XC potentials such as HSE06 and GGA-PBE. It is evident from <xref ref-type="fig" rid="fig1">
     Figure 1
    </xref>. The studied Rb<sub>2</sub>BX<sub>6</sub> (B = Pb, Pt, Sn, Te, Se, Ti, Zr) compounds show semiconductor behavior notably in PBE-GGA and HSE06 potentials. For the A<sub>2</sub>B (Cl, Br)<sub>6</sub> (A = Rb; B = Tc, W, Ir, Ta, Mn, Sb and Mo), the energy bands are overlapping with the Fermi level indicating the presence of metallic character in these materials. The Rb<sub>2</sub>PbBr<sub>6</sub> and Rb<sub>2</sub>PbCl<sub>6</sub> compounds are direct semiconductors (Γ → Γ) with energy gaps of 0.275 and 1.142 eV, respectively. This makes these materials promising photovoltaic ones. Direct band gap materials are more efficient for optoelectronic applications when compared to indirect band gap ones. This is because of phonon involvement, which makes indirect band gap semiconductors bad emitters of light <xref ref-type="bibr" rid="scirp.134884-65">
     [65]
    </xref> <xref ref-type="bibr" rid="scirp.134884-66">
     [66]
    </xref>. The total densities of Rb<sub>2</sub>BX<sub>6</sub> (B = Pb, Pt, Sn, Te, Se, Ti, Zr) materials are shown in <xref ref-type="fig" rid="fig2">
     Figure 2
    </xref>. According to the DOS plots, the examined compounds are semiconductors by nature. Our theoretical projections agree with previous research <xref ref-type="bibr" rid="scirp.134884-67">
     [67]
    </xref>. Most double perovskites were predicted to display an indirect gap from calculations, unless some new experimental strategies were developed for changing them into direct gaps. Unfortunately, these compounds usually show large indirect band gaps (over 2.0 eV), which cannot achieve effective optical absorption and limit the performance. For example, the synthesized Rb<sub>2</sub>BCl<sub>6</sub> (B = Sn, Te, Se, Ti, Zr) and Rb<sub>2</sub>BBr<sub>6</sub> (B = Te, Zr) compounds, which have an oversized, indirect band gap of more than 2.0 eV, giving low conversion efficiencies merely up to ~1% <xref ref-type="bibr" rid="scirp.134884-68">
     [68]
    </xref>.</p>
   <fig id="fig1" position="float">
    <label>Figure 1</label>
    <caption>
     <title>Figure 1. Calculated electronic band structures for Rb<sub>2</sub>PbCl<sub>6</sub>, Cs<sub>2</sub>PbBr<sub>6</sub>, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub> and Rb<sub>2</sub>TeBr<sub>6</sub> materials.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1190854-rId28.jpeg?20240729032922" />
   </fig>
   <fig id="fig2" position="float">
    <label>Figure 2</label>
    <caption>
     <title>Figure 2. Total density of states (TDOS) for Rb<sub>2</sub>PbCl<sub>6</sub>, Cs<sub>2</sub>PbBr<sub>6</sub>, Cs<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub> and Rb<sub>2</sub>TeBr<sub>6</sub> materials.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1190854-rId29.jpeg?20240729032923" />
   </fig>
   <p>The correct knowledge of materials properties is vital to utilize them in spintronic devices. Thus, we have carried out comprehensive theoretical study on structural, electronic, and magnetic properties of Rb<sub>2</sub>MnX<sub>6</sub>. These properties are calculated by employing DFT based on WIEN2k software to recognize their prospective for spintronic properties <xref ref-type="bibr" rid="scirp.134884-69">
     [69]
    </xref> <xref ref-type="bibr" rid="scirp.134884-70">
     [70]
    </xref>.</p>
   <p>Discussions of the energy band gap and DOSs are of great interest to those who study electronic properties. The Rb<sub>2</sub>MnX<sub>6</sub> exhibits a fascinating electronic characteristic that helps to explain ferromagnetism. To accurately explore physical properties, the evaluation of a proper energy band gap is crucial. For this purpose, the correct energy band gap of the materials under study has been predicted using GGA + U potential. With the help of this method, the calculated band structure is depicted in <xref ref-type="fig" rid="fig3">
     Figure 3
    </xref>. Between the conduction and valence bands, the Fermi level was set to be 0 eV. At specific locations in both spin channels, the maxima/minima of valence/conduction bands collide. As a result, it makes sense that both Rb<sub>2</sub>MnX<sub>6</sub> double perovskites have direct band gaps. The band structure demonstrates that both (up, down)-spin channels are semiconductors.</p>
   <fig id="fig3" position="float">
    <label>Figure 3</label>
    <caption>
     <title>Figure 3. Electronic band structure and total density of states (TDOS) of Rb<sub>2</sub>MnCl<sub>3</sub> and Rb<sub>2</sub>MnBr<sub>3</sub> materials.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1190854-rId30.jpeg?20240729032922" />
   </fig>
   <p>
    <xref ref-type="bibr" rid="scirp.134884-"></xref>We have studied the magnetic properties of Rb<sub>2</sub>MnX<sub>6</sub> compound by using the graphs of TDOS, PDOS and band structure. We have calculated the magnetic moment of Mn, Rb and (Cl, Br) separately by using GGA and GGA + U potential. The value of magnetic moment shows the magnetic characteristics of Rb<sub>2</sub>MnX<sub>6</sub>. The interstitial magnetic moment of Rb<sub>2</sub>MnX<sub>6</sub> has also been calculated. <xref ref-type="table" rid="table2">
     Table 2
    </xref> compiles the total magnetic moment 𝜇<sub>tot</sub> and interstitial magnetic moment of Rb<sub>2</sub>MnX<sub>6</sub>. It represents also individual magnetic moment of each atom (Mn, Rb, C, Br) obtained with GGA and GGA + U potentials, respectively. The calculated total magnetic moment of Rb<sub>2</sub>MnCl<sub>6</sub> and Rb<sub>2</sub>MnBr<sub>6</sub> compounds is 3.00μ<sub>β</sub> and 3.00μ<sub>β</sub>, respectively. It can be seen that the Rb<sub>2</sub>Mn (Cl, Br)<sub>6</sub> have strong magnetic moment μ<sub>β</sub> and show ferromagnetic characteristics <xref ref-type="bibr" rid="scirp.134884-71">
     [71]
    </xref>. The magnetic moment value of Mn atom is higher as compared to other atoms like Rb, Cl and Br. Furthermore, the absolute magnetic moment μ<sub>β</sub> is largely consisting of Mn atom with a small addition of Rb, Cl and Br atoms and interstitial sites. The negative value of magnetic moment of antimony (Cl, Br) atoms revealed diamagnetic behavior at all sites in the unit cell. This shows anti-parallel increment to the entire ferromagnetic direction <xref ref-type="bibr" rid="scirp.134884-72">
     [72]
    </xref>. In consequences, X atom definitely affects the ferromagnetic behavior of Rb<sub>2</sub>MnX<sub>6</sub> compound. Moreover, the calculated interstitial site, Mn atom along with the entire magnetic moment values of Rb<sub>2</sub>MnX<sub>6</sub> compound upload ferromagnetic nature, while X site opposing to it <xref ref-type="bibr" rid="scirp.134884-73">
     [73]
    </xref>. Using GGA and GGA + U potentials, the existence of opposite sign between the magnetic moment of interstitial site, Mn, X and Rb atoms along with the total magnetic moment of Rb<sub>2</sub>MnX<sub>6</sub> compound shows that the valence band electrons associated in anti-parallel behavior <xref ref-type="bibr" rid="scirp.134884-74">
     [74]
    </xref> to the total magnetic moment of the compound. Rb<sub>2</sub>MnX<sub>6</sub> are magnetic semiconductors. Furthermore, the relationship between the Curie temperature Tc and the total magnetic moments m<sub>tot</sub> is <xref ref-type="bibr" rid="scirp.134884-75">
     [75]
    </xref>:</p>
   <p>
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <mi>
        T 
      </mi> 
      <mi>
        c 
      </mi> 
      <mo>
        = 
      </mo> 
      <mn>
        23 
      </mn> 
      <mo>
        + 
      </mo> 
      <mn>
        181 
      </mn> 
      <msub> 
       <mi>
         m 
       </mi> 
       <mrow> 
        <mtext>
          tot 
        </mtext> 
       </mrow> 
      </msub> 
     </mrow> 
    </math>(6)</p>
   <table-wrap id="table2">
    <label>
     <xref ref-type="table" rid="table2">
      Table 2
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.134884-"></xref>Table 2. Magnetic properties and Curie temperature Tc of Rb<sub>2</sub>MnX<sub>6</sub> compound with GGA and GGA + U, respectively.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td rowspan="2" class="acenter" width="29.64%"><p style="text-align:center">Magnetic moment μ<sub>β</sub></p></td> 
      <td class="custom-bottom-td acenter" width="35.17%" colspan="2"><p style="text-align:center">Rb<sub>2</sub>MnCl<sub>6</sub></p></td> 
      <td class="custom-bottom-td acenter" width="35.19%" colspan="2"><p style="text-align:center">Rb<sub>2</sub>MnBr<sub>6</sub></p></td> 
     </tr> 
     <tr> 
      <td class="custom-bottom-td custom-top-td acenter" width="17.58%"><p style="text-align:center">GGA</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="17.59%"><p style="text-align:center">GGA + U</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="17.59%"><p style="text-align:center">GGA</p></td> 
      <td class="custom-bottom-td custom-top-td acenter" width="17.59%"><p style="text-align:center">GGA + U</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="29.64%"><p style="text-align:center">μ<sub>Mn</sub></p></td> 
      <td class="custom-top-td acenter" width="17.58%"><p style="text-align:center">3.12374</p></td> 
      <td class="custom-top-td acenter" width="17.59%"><p style="text-align:center">3.13373</p></td> 
      <td class="custom-top-td acenter" width="17.59%"><p style="text-align:center">3.33211</p></td> 
      <td class="custom-top-td acenter" width="17.59%"><p style="text-align:center">3.33617</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="29.64%"><p style="text-align:center">μ<sub>X</sub></p></td> 
      <td class="acenter" width="17.58%"><p style="text-align:center">−0.03123</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">−0.03219</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">−0.06074</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">−0.06157</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="29.64%"><p style="text-align:center">μ<sub>Rb</sub></p></td> 
      <td class="acenter" width="17.58%"><p style="text-align:center">0.00195</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">0.00189</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">0.00155</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">0.00175</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="29.64%"><p style="text-align:center">μ<sub>tot (Interstitial)</sub></p></td> 
      <td class="acenter" width="17.58%"><p style="text-align:center">0.06120</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">0.0645</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">0.03189</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">0.03624</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="29.64%"><p style="text-align:center">μ<sub>tot</sub></p></td> 
      <td class="acenter" width="17.58%"><p style="text-align:center">3.00148μ<sub>β</sub></p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">3.00887μ<sub>β</sub></p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">3.00265μ<sub>β</sub></p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">3.00649μ<sub>β</sub></p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="29.64%"><p style="text-align:center">Tc (K)</p></td> 
      <td class="acenter" width="17.58%"><p style="text-align:center">566</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">-</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">566</p></td> 
      <td class="acenter" width="17.59%"><p style="text-align:center">-</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <p>Advanced spintronic technology requires room temperature ferromagnetism, which is ensured by Tc values represented in <xref ref-type="table" rid="table2">
     Table 2
    </xref>. This value is essential for applications involving devices based on spintronic technology.</p>
   <p>Lately, alike crystal structures have been specified utilizing precise electronic computations, however, this zone is in its infancy relative to the upcoming quantity of experimental and theoretical investigation on optical properties. The utilization of optical measurements to survey a physical framework is not a starting from traditional physics since it is presumably real that more physics has been learned utilizing photons on probes than by any other means <xref ref-type="bibr" rid="scirp.134884-76">
     [76]
    </xref>. When assessing the optical properties of a material, the fact that the transitions take place as a result of light coming into contact with the substance is an essential aspect. Electronic transitions can be broken down into two primary categories: intra-band and inter-band transitions. As a result, transitions between bands are more common than transitions within bands. We present the optical properties of the calculated materials of interest. These properties are allied to a complex dielectric constant that is important to comprehend the response between the crystal system and the electromagnetic waves. It is overmuch hard to experimentally perform a specimen of a single-crystal structure. Thus, the ab initio is a right approximation to analyze optical properties, including dielectric constant, reflectivity, and absorption coefficient. The dielectric constant is the capacity of the framework to accommodate and store electrons <xref ref-type="bibr" rid="scirp.134884-77">
     [77]
    </xref>. The complex dielectric constant (ω) = ε<sub>1</sub>(ω) + iε<sub>2</sub>(ω) contains two components: the real component ε<sub>1</sub>(ω) that measures dispersion and the imaginary component ε<sub>2</sub>(ω) which measures light absorption. ε<sub>1</sub>(ω) and ε<sub>2</sub>(ω) are used to calculate the other major optical properties, such as reflectivity R(ω), absorption α(ω), and refractive index n(ω) <xref ref-type="bibr" rid="scirp.134884-78">
     [78]
    </xref> <xref ref-type="bibr" rid="scirp.134884-79">
     [79]
    </xref>.</p>
   <p>The plots of ε<sub>1</sub>(ω), ε<sub>2</sub>(ω), n(ω), k(ω), and a(ω) are depicted in <xref ref-type="fig" rid="figFigures 4-7">
     Figures 4-7
    </xref>, where the largest peak of ε<sub>1</sub>(ω) is observed at 6.16, 6.33, 6.88, 3.44, 6.01, 2.99, 6.69, 6.61, 6.12, 4.28, 5.64, 4.29, 6.12, 6.35 eV for Rb<sub>2</sub>PbCl<sub>6</sub>, Rb<sub>2</sub>PbBr6, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SnCl<sub>6</sub>, Rb<sub>2</sub>SnBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub>, Rb<sub>2</sub>TeBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TiCl<sub>6</sub>, Rb<sub>2</sub>TiBr<sub>6</sub>, Rb<sub>2</sub>ZrCl<sub>6</sub>, Rb<sub>2</sub>ZrBr<sub>6</sub>, respectively. Since the energy and frequency of electromagnetic waves are intimately related, the movement of the peak of highest intensity towards lower energy causes the ε<sub>1</sub>(ω) value to increase from 5.30 to 6.41 <xref ref-type="bibr" rid="scirp.134884-80">
     [80]
    </xref>. The static dielectric constants obtained for the materials under consideration are shown in <xref ref-type="table" rid="table3">
     Table 3
    </xref>. Note that when ε<sub>1</sub>(0) is inversely linked to a material’s band gap, it becomes clear that our computed results are quite in line with those of Penn’s rule <xref ref-type="bibr" rid="scirp.134884-81">
     [81]
    </xref> <xref ref-type="bibr" rid="scirp.134884-82">
     [82]
    </xref>. When the compound’s energy band gap narrows, its spectral peaks rise. <xref ref-type="fig" rid="fig4">
     Figure 4
    </xref> shows the change in ε<sub>1</sub>(ω) with incident energy. The variation of ε<sub>2</sub>(ω) with photon energy (0 - 10 eV) is shown in <xref ref-type="fig" rid="fig4">
     Figure 4
    </xref>. An absorptive transition among the different bands is indicated by the existence of several peaks in the energy region which is primarily due to transition of electrons. These results suggest that variation in the studied group of these materials strongly influences their optical properties; hence, they can be used to manipulate these properties.</p>
   <fig id="fig4" position="float">
    <label>Figure 4</label>
    <caption>
     <title>Figure 4. Computed real Re (Epsilon) and imaginary Im (Epsilon) parts of the dielectric functions for Rb<sub>2</sub>PbCl<sub>6</sub>, Cs<sub>2</sub>PbBr<sub>6</sub>, Cs<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub> and Rb<sub>2</sub>TeBr<sub>6</sub> materials.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1190854-rId33.jpeg?20240729032922" />
   </fig>
   <fig id="fig5" position="float">
    <label>Figure 5</label>
    <caption>
     <title>Figure 5. Calculated refractive index n(ω) and extinction coefficient k(ω) for Rb<sub>2</sub>PbCl<sub>6</sub>, Cs<sub>2</sub>PbBr<sub>6</sub>, Cs<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub> and Rb<sub>2</sub>TeBr<sub>6</sub> materials.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1190854-rId34.jpeg?20240729032922" />
   </fig>
   <fig id="fig6" position="float">
    <label>Figure 6</label>
    <caption>
     <title>Figure 6. Calculated reflectivity R(ω) for Rb<sub>2</sub>PbCl<sub>6</sub>, Cs<sub>2</sub>PbBr<sub>6</sub>, Cs<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub> and Rb<sub>2</sub>TeBr<sub>6</sub> materials.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1190854-rId35.jpeg?20240729032922" />
   </fig>
   <fig id="fig7" position="float">
    <label>Figure 7</label>
    <caption>
     <title>Figure 7. Optical absorption coefficient α(ω) of Rb<sub>2</sub>PbCl<sub>6</sub>, Cs<sub>2</sub>PbBr<sub>6</sub>, Cs<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub> and Rb<sub>2</sub>TeBr<sub>6</sub> materials versus photon energy.</title>
    </caption>
    <graphic mimetype="image" position="float" xlink:type="simple" xlink:href="https://html.scirp.org/file/1190854-rId36.jpeg?20240729032922" />
   </fig>
   <table-wrap id="table3">
    <label>
     <xref ref-type="table" rid="table3">
      Table 3
     </xref></label>
    <caption>
     <title>
      <xref ref-type="bibr" rid="scirp.134884-"></xref>Table 3. Optical parameters for A<sub>2</sub>BX<sub>6</sub> materials.</title>
    </caption>
    <table class="MsoTableGrid custom-table" border="0" cellspacing="0" cellpadding="0"> 
     <tr> 
      <td class="custom-bottom-td acenter" width="14.39%"><p style="text-align:center">Compounds</p></td> 
      <td class="custom-bottom-td acenter" width="14.39%"><p style="text-align:center">ε(0)</p></td> 
      <td class="custom-bottom-td acenter" width="14.39%"><p style="text-align:center">n(0)</p></td> 
      <td class="custom-bottom-td acenter" width="14.39%"><p style="text-align:center">R(0)</p></td> 
     </tr> 
     <tr> 
      <td class="custom-top-td acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>PbCl<sub>6</sub></p></td> 
      <td class="custom-top-td acenter" width="14.39%"><p style="text-align:center">2.78</p></td> 
      <td class="custom-top-td acenter" width="14.39%"><p style="text-align:center">1.66</p></td> 
      <td class="custom-top-td acenter" width="14.39%"><p style="text-align:center">0.83</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>PbBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">3.70</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.92</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.84</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>PtCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.88</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.69</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.78</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>PtBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.41</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.55</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.79</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>SnCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.65</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.63</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.81</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>SnBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.54</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.59</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.86</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>TeCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">3.13</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.77</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.82</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>TeBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.68</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.63</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.79</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>SeCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">3.16</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.77</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.85</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>SeBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.19</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.48</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.87</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>TiCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.70</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.64</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.71</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>TiBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">3.27</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.80</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.84</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>ZrCl<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.28</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.51</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.86</p></td> 
     </tr> 
     <tr> 
      <td class="acenter" width="14.39%"><p style="text-align:center">Rb<sub>2</sub>ZrBr<sub>6</sub></p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">2.69</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">1.64</p></td> 
      <td class="acenter" width="14.39%"><p style="text-align:center">0.83</p></td> 
     </tr> 
    </table>
   </table-wrap>
   <p>The opacity of a compound when light photons strike its surface is measured by the refractive index n(ω). For materials that are completely transparent, n(ω) must be equal to 1 <xref ref-type="bibr" rid="scirp.134884-83">
     [83]
    </xref>. The most efficient optical materials have refractive indices of 2 to 3. The trend of n(0) is noticed to be replica of the ε<sub>1</sub>(ω). At zero frequency it is known as static refractive index n(0) is determined as 
    <math display="inline" xmlns="http://www.w3.org/1998/Math/MathML"> <mrow> 
      <mi>
        n 
      </mi> 
      <msup> 
       <mrow> 
        <mrow> 
         <mo>
           ( 
         </mo> 
         <mn>
           0 
         </mn> 
         <mo>
           ) 
         </mo> 
        </mrow> 
       </mrow> 
       <mn>
         2 
       </mn> 
      </msup> 
      <mo>
        = 
      </mo> 
      <msub> 
       <mi>
         ε 
       </mi> 
       <mn>
         1 
       </mn> 
      </msub> 
      <mrow> 
       <mo>
         ( 
       </mo> 
       <mn>
         0 
       </mn> 
       <mo>
         ) 
       </mo> 
      </mrow> 
     </mrow> 
    </math>. The initial summits of n(ω) for Rb<sub>2</sub>PbCl<sub>6</sub>, Rb<sub>2</sub>PbBr6, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SnCl<sub>6</sub>, Rb<sub>2</sub>SnBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub>, Rb<sub>2</sub>TeBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TiCl<sub>6</sub>, Rb<sub>2</sub>TiBr<sub>6</sub>, Rb<sub>2</sub>ZrCl<sub>6</sub>, Rb<sub>2</sub>ZrBr<sub>6</sub>, are 1.66, 1.92, 1.69, 1.55, 1.63, 1.59, 1.77, 1.63, 1.77, 1.48, 1.64, 1.80, 1.51 and 1.64, respectively. After reaching its peak (see <xref ref-type="fig" rid="fig4">
     Figure 4
    </xref>), or a resonance frequency, it then starts to decelerate. The curve behavior for the n(x) significantly changed for all of the engaged species. It is clear from <xref ref-type="fig" rid="fig4(b)">
     Figure 4(b)
    </xref> that the n(x) curves shift to other energy areas for the various doped configurations. Similarly, a change in the n(x) is seen below the energy band-gap accounts for doped models. The important change seen in n(x) accounts supplies an occasion to handle the optical properties by doping with various concentrations. Additionally, the change is more pronounced in the base energy area in contrast to the great energy area.</p>
   <p>
    <xref ref-type="fig" rid="fig5">
     Figure 5
    </xref> illustrates the extinction coefficient spectra k(ω) versus photon energy. For Rb<sub>2</sub>PbCl<sub>6</sub>, Rb<sub>2</sub>PbBr6, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SnCl<sub>6</sub>, Rb<sub>2</sub>SnBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub>, Rb<sub>2</sub>TeBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TiCl<sub>6</sub>, Rb<sub>2</sub>TiBr<sub>6</sub>, Rb<sub>2</sub>ZrCl<sub>6</sub> and Rb<sub>2</sub>ZrBr<sub>6</sub>, the amounts of k(ω) started from 0 eV (See <xref ref-type="fig" rid="fig5">
     Figure 5
    </xref>) and reached the first peak of 0.71, 1.37, 1.41, 1.46, 1.97, 2.53, 1.66, 1.95, 1.38, 1.45, 1.62, 1.74, 1.63 and 1.55 eV. The greatest accounts of k(ω) are 2.98, 3.16, 3.69, 3.45, 3.93, 3.78, 4.07, 3.54, 3.15, 3.25, 3.57, 3.45, 3.82 and 3.23 eV for Rb<sub>2</sub>PbCl<sub>6</sub>, Rb<sub>2</sub>PbBr6, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SnCl<sub>6</sub>, Rb<sub>2</sub>SnBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub>, Rb<sub>2</sub>TeBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TiCl<sub>6</sub>, Rb<sub>2</sub>TiBr<sub>6</sub>, Rb<sub>2</sub>ZrCl<sub>6</sub> and Rb<sub>2</sub>ZrBr<sub>6</sub>, respectively. A great quantity of light absorption is associated with each peak in the extinction coefficient spectrum.</p>
   <p>
    <xref ref-type="fig" rid="fig6">
     Figure 6
    </xref> depicts another crucial element for optoelectronic applications, reflectivity R(ω), which is used to evaluate the light that is reflected from the surface <xref ref-type="bibr" rid="scirp.134884-84">
     [84]
    </xref> <xref ref-type="bibr" rid="scirp.134884-85">
     [85]
    </xref>. For zero frequency reflectivity, the computed values for Rb<sub>2</sub>PbCl<sub>6</sub>, Rb<sub>2</sub>PbBr6, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SnCl<sub>6</sub>, Rb<sub>2</sub>SnBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub>, Rb<sub>2</sub>TeBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TiCl<sub>6</sub>, Rb<sub>2</sub>TiBr<sub>6</sub>, Rb<sub>2</sub>ZrCl<sub>6</sub> and Rb<sub>2</sub>ZrBr<sub>6</sub> are 0.10, 0.11, 0.10, 0.07, 0.08, 0.09, 0.08, 0.12, 0.10, 0.11, 0.10, 0.09, 0.08 and 0.11, respectively (see <xref ref-type="fig" rid="fig6">
     Figure 6
    </xref>). Furthermore, the high values of R(ω) are 0.83, 0.84, 0.78, 0.79, 0.81, 0.86, 0.82, 0.79, 0.85, 0.87, 0.71, 0.84, 0.86 and 0.83 for Rb<sub>2</sub>PbCl<sub>6</sub>, Rb<sub>2</sub>PbBr6, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SnCl<sub>6</sub>, Rb<sub>2</sub>SnBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub>, Rb<sub>2</sub>TeBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TiCl<sub>6</sub>, Rb<sub>2</sub>TiBr<sub>6</sub>, Rb<sub>2</sub>ZrCl<sub>6</sub> and Rb<sub>2</sub>ZrBr<sub>6</sub> at 5.01, 11.39, 11.04, 9.81, 5.81, 5.01, 6.13, 5.26, 7.15, 6.24, 11.24, 8.13, 7.26 and 8.15, respectively. The ε<sub>1</sub>(0), n(0) and R(0) are represented in <xref ref-type="table" rid="table3">
     Table 3
    </xref>. In the visible region, the doped systems have a lower reflectivity coefficient, indicating that the systems all have “clear-type” properties. This is conducive to fundamental insights into a tunable band gap semiconductor with enormous potential in device fields.</p>
   <p>The absorption coefficient spectra α(ω) is a crucial parameter for the reason that it establishes how far light of some energy can proceed via the substance prior being used <xref ref-type="bibr" rid="scirp.134884-10">
     [10]
    </xref>. α(ω) equally accounted for the photon-induced processing of electrons from replete to unfilled states <xref ref-type="bibr" rid="scirp.134884-47">
     [47]
    </xref>. The α(ω) for the two substances is produced at 0 eV (See <xref ref-type="fig" rid="fig7">
     Figure 7
    </xref>). For Rb<sub>2</sub>PbCl<sub>6</sub>, Rb<sub>2</sub>PbBr6, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SnCl<sub>6</sub>, Rb<sub>2</sub>SnBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub>, Rb<sub>2</sub>TeBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TiCl<sub>6</sub>, Rb<sub>2</sub>TiBr<sub>6</sub>, Rb<sub>2</sub>ZrCl<sub>6</sub> and Rb<sub>2</sub>ZrBr<sub>6</sub>, the α(ω) acquires maximum merits of 20.94 × 10<sup>4</sup>, 21.91 × 10<sup>4</sup>, 25.42 × 10<sup>4</sup>, 24.54 × 10<sup>4</sup>, 22.39 × 10<sup>4</sup>, 22.16 × 10<sup>4</sup>, 19.41 × 10<sup>4</sup>, 19.17 × 10<sup>4</sup>, 20.14 × 10<sup>4</sup>, 21.63 × 10<sup>4</sup>, 20.14 × 10<sup>4</sup>, 22.30 × 10<sup>4</sup> and 21.25 × 10<sup>4</sup> at 110.24, 9.28, 10.25, 9.77, 10.25, 8.97, 9.93, 8.83, 9.82, 10.12, 10.14, 9.58, 9.43 and 9.17 eV, respectively. The peaks around 10 eV are called the vacuum ultraviolet region. It is clear that the replacement of Rb<sub>2</sub>PbCl<sub>6</sub> by Rb<sub>2</sub>PtCl<sub>6</sub> and Cs<sub>2</sub>PbBr<sub>6</sub> by Cs<sub>2</sub>PtCl<sub>6</sub> augments α(ω) at around 10 eV and significantly shifts the peaks to low energy. As stated by the provided optical representatives of Rb<sub>2</sub>PbCl<sub>6</sub>, Rb<sub>2</sub>PbBr6, Rb<sub>2</sub>PtCl<sub>6</sub>, Rb<sub>2</sub>PtBr<sub>6</sub>, Rb<sub>2</sub>SnCl<sub>6</sub>, Rb<sub>2</sub>SnBr<sub>6</sub>, Rb<sub>2</sub>TeCl<sub>6</sub>, Rb<sub>2</sub>TeBr<sub>6</sub>, Rb<sub>2</sub>SeCl<sub>6</sub>, Rb<sub>2</sub>SeBr<sub>6</sub>, Rb<sub>2</sub>TiCl<sub>6</sub>, Rb<sub>2</sub>TiBr<sub>6</sub>, Rb<sub>2</sub>ZrCl<sub>6</sub> and Rb<sub>2</sub>ZrBr<sub>6</sub> compounds, the energy band-gap lies in the visible region. Both materials reveal a great absorption, that makes them potential applicants for energy harvesting systems.</p>
  </sec><sec id="s4">
   <title>4. Conclusion</title>
   <p>Halides perovskites are promising materials for generating green energy that could fulfill worldwide desires for addressing energy scarcity crises. In this study, we have utilized the Ultra-Soft Pseudo-Potentials (PP-PW) approach of DFT to systematically analyze the A<sub>2</sub>BX<sub>6</sub> (A = Rb; B = Tc, Pb, Pt, Sn, W, Ir, Ta, Mn, Sb, Te, Se, Mo, Ti, Zr and X = Cl, Br) materials. The structural stabilities of the scrutinized materials have been ascertained from structural optimization. The results concerning the lattice constant are found to be within 2% slighter than those of experiment. The cubic A<sub>2</sub>BX<sub>6</sub> perovskites have negative formation energy, implying their chemical stability. Thus, the materials can be synthesized experimentally at normal conditions. The electronic band structure and density of states are determined using GGA and HSE06 approximations. The electronic properties reveal that the studied Rb<sub>2</sub>BX<sub>6</sub> (B = Pb, Pt, Sn, Te, Se, Ti, Zr) materials possess energy band gaps which vary from 1.131 to 3.731 eV. The Rb<sub>2</sub>PbBr<sub>6</sub> and Rb<sub>2</sub>PbCl<sub>6</sub> materials are found to be direct semiconductors (Г-Г) with energy gaps of 0.275 and 1.142 eV, respectively. This makes them promising photovoltaic materials. A metallic nature has been seen for Rb<sub>2</sub>BX<sub>6</sub> (B = Tc, W, Ir, Ta, Mn, Sb, Mo) compounds showing the attendance of conductivity lineaments. The Band structure demonstrates that both (up, down)-spin channels are semiconducting materials. The Rb<sub>2</sub>Mn (Cl, Br)<sub>6</sub> has strong magnetic moment μ<sub>β</sub> and shows ferromagnetic characteristics. The negative value of magnetic moment of antimony (Cl, Br) atoms revealed diamagnetic behavior at all sites in the unit cell. This indicates an anti-parallel increment to the entire ferromagnetic direction. Calculations have also been made for optical characteristics with the values of the dielectric function, absorption coefficient, reflectivity, and refractive indices. A great quantity of light absorption is associated with each peak in the extinction coefficient spectrum. According to our findings, all investigated materials are able to emit light in the visible as well as in the ultraviolet energy ranges, making them suitable for use in optical applications. The obtained results will act as a theoretical road map for upcoming experimental and commercial A<sub>2</sub>BX<sub>6</sub> applications.</p>
  </sec>
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