Why are low spin tetrahedral complexes so rare?












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As I was going through Concise Inorganic Chemistry by J. D. Lee, I realised that there are simply no low spin tetrahedral complexes mentioned in the book. Is there any specific condition required for the formation of such a complex?
Usually low-spin complexes are in $mathrm{dsp^2}$ electronic configuration. But can this kind of orbital form a tetrahedral geometry? Because usually tetrahedron is usually synonymous to $mathrm{sp^3}$.










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$endgroup$

















    10












    $begingroup$


    As I was going through Concise Inorganic Chemistry by J. D. Lee, I realised that there are simply no low spin tetrahedral complexes mentioned in the book. Is there any specific condition required for the formation of such a complex?
    Usually low-spin complexes are in $mathrm{dsp^2}$ electronic configuration. But can this kind of orbital form a tetrahedral geometry? Because usually tetrahedron is usually synonymous to $mathrm{sp^3}$.










    share|improve this question











    $endgroup$















      10












      10








      10


      2



      $begingroup$


      As I was going through Concise Inorganic Chemistry by J. D. Lee, I realised that there are simply no low spin tetrahedral complexes mentioned in the book. Is there any specific condition required for the formation of such a complex?
      Usually low-spin complexes are in $mathrm{dsp^2}$ electronic configuration. But can this kind of orbital form a tetrahedral geometry? Because usually tetrahedron is usually synonymous to $mathrm{sp^3}$.










      share|improve this question











      $endgroup$




      As I was going through Concise Inorganic Chemistry by J. D. Lee, I realised that there are simply no low spin tetrahedral complexes mentioned in the book. Is there any specific condition required for the formation of such a complex?
      Usually low-spin complexes are in $mathrm{dsp^2}$ electronic configuration. But can this kind of orbital form a tetrahedral geometry? Because usually tetrahedron is usually synonymous to $mathrm{sp^3}$.







      inorganic-chemistry coordination-compounds






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      edited May 9 at 23:37









      orthocresol

      41.1k7124255




      41.1k7124255










      asked May 9 at 10:39









      evamPUNditevamPUNdit

      14112




      14112






















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          13












          $begingroup$

          Hybridisation won't explain anything in transition metal complexes, so please stop using it, at least to the extent where it is possible to avoid using it. Quite literally everything about transition metal complexes is better rationalised using MO theory, and I am not exaggerating.



          The reason why low-spin $T_mathrm d$ complexes are rare is because the splitting parameter, $Delta_t$, is significantly smaller than the corresponding octahedral parameter $Delta_o$. In crystal field theory, there is a complicated derivation which leads to the conclusion that (all things being equal)



          $$Delta_t = frac{4}{9}Delta_o$$



          For more information, please see: Why do tetrahedral complexes have approximately 4/9 the field split of octahedral complexes? and Why do octahedral metal ligand complexes have greater splitting than tetrahedral complexes?. Of course, this relationship is not exact in the real world, because CFT is a very simplified model; ligands are not point charges. However, it is still true in a qualitative sense.



          Since the splitting $Delta_t$ is smaller, it is usually easier to promote an electron to the higher-energy $mathrm t_2$ orbitals, rather than to pair the electrons up in the lower-energy $mathrm e$ orbitals. Consequently, most tetrahedral complexes, especially those of the first-row transition metals, are high-spin. Low-spin ones do exist (e.g. J. Chem. Soc., Chem. Commun. 1986, 1491), but aren't common.






          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            It's just that we just went through the basics of CFT. I can't think without using hybridisation right now..
            $endgroup$
            – evamPUNdit
            May 9 at 11:10








          • 5




            $begingroup$
            I can understand that. However, I think it would be a disservice to not at least mention it. It is an absolute travesty that hybridisation for TM complexes is still taught. Also, other people, not just you, will read this too.
            $endgroup$
            – orthocresol
            May 9 at 11:22












          • $begingroup$
            CFT contains zero reference to hybridization. It is ridiculous to force into it.
            $endgroup$
            – Greg
            May 10 at 6:28












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          1 Answer
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          active

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          active

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          13












          $begingroup$

          Hybridisation won't explain anything in transition metal complexes, so please stop using it, at least to the extent where it is possible to avoid using it. Quite literally everything about transition metal complexes is better rationalised using MO theory, and I am not exaggerating.



          The reason why low-spin $T_mathrm d$ complexes are rare is because the splitting parameter, $Delta_t$, is significantly smaller than the corresponding octahedral parameter $Delta_o$. In crystal field theory, there is a complicated derivation which leads to the conclusion that (all things being equal)



          $$Delta_t = frac{4}{9}Delta_o$$



          For more information, please see: Why do tetrahedral complexes have approximately 4/9 the field split of octahedral complexes? and Why do octahedral metal ligand complexes have greater splitting than tetrahedral complexes?. Of course, this relationship is not exact in the real world, because CFT is a very simplified model; ligands are not point charges. However, it is still true in a qualitative sense.



          Since the splitting $Delta_t$ is smaller, it is usually easier to promote an electron to the higher-energy $mathrm t_2$ orbitals, rather than to pair the electrons up in the lower-energy $mathrm e$ orbitals. Consequently, most tetrahedral complexes, especially those of the first-row transition metals, are high-spin. Low-spin ones do exist (e.g. J. Chem. Soc., Chem. Commun. 1986, 1491), but aren't common.






          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            It's just that we just went through the basics of CFT. I can't think without using hybridisation right now..
            $endgroup$
            – evamPUNdit
            May 9 at 11:10








          • 5




            $begingroup$
            I can understand that. However, I think it would be a disservice to not at least mention it. It is an absolute travesty that hybridisation for TM complexes is still taught. Also, other people, not just you, will read this too.
            $endgroup$
            – orthocresol
            May 9 at 11:22












          • $begingroup$
            CFT contains zero reference to hybridization. It is ridiculous to force into it.
            $endgroup$
            – Greg
            May 10 at 6:28
















          13












          $begingroup$

          Hybridisation won't explain anything in transition metal complexes, so please stop using it, at least to the extent where it is possible to avoid using it. Quite literally everything about transition metal complexes is better rationalised using MO theory, and I am not exaggerating.



          The reason why low-spin $T_mathrm d$ complexes are rare is because the splitting parameter, $Delta_t$, is significantly smaller than the corresponding octahedral parameter $Delta_o$. In crystal field theory, there is a complicated derivation which leads to the conclusion that (all things being equal)



          $$Delta_t = frac{4}{9}Delta_o$$



          For more information, please see: Why do tetrahedral complexes have approximately 4/9 the field split of octahedral complexes? and Why do octahedral metal ligand complexes have greater splitting than tetrahedral complexes?. Of course, this relationship is not exact in the real world, because CFT is a very simplified model; ligands are not point charges. However, it is still true in a qualitative sense.



          Since the splitting $Delta_t$ is smaller, it is usually easier to promote an electron to the higher-energy $mathrm t_2$ orbitals, rather than to pair the electrons up in the lower-energy $mathrm e$ orbitals. Consequently, most tetrahedral complexes, especially those of the first-row transition metals, are high-spin. Low-spin ones do exist (e.g. J. Chem. Soc., Chem. Commun. 1986, 1491), but aren't common.






          share|improve this answer









          $endgroup$









          • 1




            $begingroup$
            It's just that we just went through the basics of CFT. I can't think without using hybridisation right now..
            $endgroup$
            – evamPUNdit
            May 9 at 11:10








          • 5




            $begingroup$
            I can understand that. However, I think it would be a disservice to not at least mention it. It is an absolute travesty that hybridisation for TM complexes is still taught. Also, other people, not just you, will read this too.
            $endgroup$
            – orthocresol
            May 9 at 11:22












          • $begingroup$
            CFT contains zero reference to hybridization. It is ridiculous to force into it.
            $endgroup$
            – Greg
            May 10 at 6:28














          13












          13








          13





          $begingroup$

          Hybridisation won't explain anything in transition metal complexes, so please stop using it, at least to the extent where it is possible to avoid using it. Quite literally everything about transition metal complexes is better rationalised using MO theory, and I am not exaggerating.



          The reason why low-spin $T_mathrm d$ complexes are rare is because the splitting parameter, $Delta_t$, is significantly smaller than the corresponding octahedral parameter $Delta_o$. In crystal field theory, there is a complicated derivation which leads to the conclusion that (all things being equal)



          $$Delta_t = frac{4}{9}Delta_o$$



          For more information, please see: Why do tetrahedral complexes have approximately 4/9 the field split of octahedral complexes? and Why do octahedral metal ligand complexes have greater splitting than tetrahedral complexes?. Of course, this relationship is not exact in the real world, because CFT is a very simplified model; ligands are not point charges. However, it is still true in a qualitative sense.



          Since the splitting $Delta_t$ is smaller, it is usually easier to promote an electron to the higher-energy $mathrm t_2$ orbitals, rather than to pair the electrons up in the lower-energy $mathrm e$ orbitals. Consequently, most tetrahedral complexes, especially those of the first-row transition metals, are high-spin. Low-spin ones do exist (e.g. J. Chem. Soc., Chem. Commun. 1986, 1491), but aren't common.






          share|improve this answer









          $endgroup$



          Hybridisation won't explain anything in transition metal complexes, so please stop using it, at least to the extent where it is possible to avoid using it. Quite literally everything about transition metal complexes is better rationalised using MO theory, and I am not exaggerating.



          The reason why low-spin $T_mathrm d$ complexes are rare is because the splitting parameter, $Delta_t$, is significantly smaller than the corresponding octahedral parameter $Delta_o$. In crystal field theory, there is a complicated derivation which leads to the conclusion that (all things being equal)



          $$Delta_t = frac{4}{9}Delta_o$$



          For more information, please see: Why do tetrahedral complexes have approximately 4/9 the field split of octahedral complexes? and Why do octahedral metal ligand complexes have greater splitting than tetrahedral complexes?. Of course, this relationship is not exact in the real world, because CFT is a very simplified model; ligands are not point charges. However, it is still true in a qualitative sense.



          Since the splitting $Delta_t$ is smaller, it is usually easier to promote an electron to the higher-energy $mathrm t_2$ orbitals, rather than to pair the electrons up in the lower-energy $mathrm e$ orbitals. Consequently, most tetrahedral complexes, especially those of the first-row transition metals, are high-spin. Low-spin ones do exist (e.g. J. Chem. Soc., Chem. Commun. 1986, 1491), but aren't common.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered May 9 at 11:05









          orthocresolorthocresol

          41.1k7124255




          41.1k7124255








          • 1




            $begingroup$
            It's just that we just went through the basics of CFT. I can't think without using hybridisation right now..
            $endgroup$
            – evamPUNdit
            May 9 at 11:10








          • 5




            $begingroup$
            I can understand that. However, I think it would be a disservice to not at least mention it. It is an absolute travesty that hybridisation for TM complexes is still taught. Also, other people, not just you, will read this too.
            $endgroup$
            – orthocresol
            May 9 at 11:22












          • $begingroup$
            CFT contains zero reference to hybridization. It is ridiculous to force into it.
            $endgroup$
            – Greg
            May 10 at 6:28














          • 1




            $begingroup$
            It's just that we just went through the basics of CFT. I can't think without using hybridisation right now..
            $endgroup$
            – evamPUNdit
            May 9 at 11:10








          • 5




            $begingroup$
            I can understand that. However, I think it would be a disservice to not at least mention it. It is an absolute travesty that hybridisation for TM complexes is still taught. Also, other people, not just you, will read this too.
            $endgroup$
            – orthocresol
            May 9 at 11:22












          • $begingroup$
            CFT contains zero reference to hybridization. It is ridiculous to force into it.
            $endgroup$
            – Greg
            May 10 at 6:28








          1




          1




          $begingroup$
          It's just that we just went through the basics of CFT. I can't think without using hybridisation right now..
          $endgroup$
          – evamPUNdit
          May 9 at 11:10






          $begingroup$
          It's just that we just went through the basics of CFT. I can't think without using hybridisation right now..
          $endgroup$
          – evamPUNdit
          May 9 at 11:10






          5




          5




          $begingroup$
          I can understand that. However, I think it would be a disservice to not at least mention it. It is an absolute travesty that hybridisation for TM complexes is still taught. Also, other people, not just you, will read this too.
          $endgroup$
          – orthocresol
          May 9 at 11:22






          $begingroup$
          I can understand that. However, I think it would be a disservice to not at least mention it. It is an absolute travesty that hybridisation for TM complexes is still taught. Also, other people, not just you, will read this too.
          $endgroup$
          – orthocresol
          May 9 at 11:22














          $begingroup$
          CFT contains zero reference to hybridization. It is ridiculous to force into it.
          $endgroup$
          – Greg
          May 10 at 6:28




          $begingroup$
          CFT contains zero reference to hybridization. It is ridiculous to force into it.
          $endgroup$
          – Greg
          May 10 at 6:28


















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