Styx rule

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The styx rule, also known as Lipscomb's styx rule, can be used to calculate the structures of boranes. It was developed by William Lipscomb in 1954. [1] The rule defines boranes to have four types of bonds besides the terminal B-H bonds: [2]

Contents

The structures assigned to the letters s, t, y, and x Styx rule.png
The structures assigned to the letters s, t, y, and x

Where:

The bonding structure deduced by the styx rule doesn't reflect the true symmetry of boranes. [2] More modern methods that more accurately reflect the bonding nature of boranes like Wade's rules have been developed. [3]

Calculation

When given the chemical formula of a borane (BmHn), one can deduce its styx numbers by first separating the formula into (BH)mHn-m. Then, one can make use of three equations: [2] [4]

  1. s+x=n-m, due to the number of hydrogen atoms
  2. 3m+n=2m+2s+2t+2y+2x, due to the number of electrons
  3. 4m+n=2(n-m)+3s+3t+2y+2x, due to the number of bonding orbitals

With these, one can come up with several integer combinations of styx. However, some are ruled out because styx are non-negative.

See also

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References

  1. Eberhardt, W. H.; Crawford, Bryce; Lipscomb, William N. (1954-06-01). "The Valence Structure of the Boron Hydrides". The Journal of Chemical Physics. 22 (6): 989–1001. Bibcode:1954JChPh..22..989E. doi:10.1063/1.1740320. ISSN   0021-9606.
  2. 1 2 3 Zhou, Gong-du; Duan, Lianyun (2017). Jie gou hua xue ji chu (Di 5 ban) =: Fundamentals of structural chemistry = Jiegou huaxue jichu. 21 shi ji hua xue gui hua jiao cai · ji chu ke xi lie (Di 5 ban ed.). Beijing Shi: Beijing da xue chu ban she. pp. 179–180. ISBN   978-7-301-28307-3. OCLC   1055689036.
  3. Housecroft, Catherine E.; Sharpe, Alan G. (2018). Inorganic chemistry (5th ed.). Harlow, England London New York Boston San Francisco Toronto Sydney: Pearson. pp. 426–437. ISBN   978-1-292-13414-7.
  4. Lipscomb, William N. (August 1979). "Relationship of the styx rules to Wade's rules". Inorganic Chemistry. 18 (8): 2328. doi:10.1021/ic50198a062. ISSN   0020-1669.