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Correction to: Valencies of the lanthanides

  • David A. Johnson
  • Peter G. Nelson
Correction

Correction to: Found Chem (2018) 20:15–27  https://doi.org/10.1007/s10698-017-9291-6

The authors regret that there are errors in equation (6) and subsequent discussion. The correct version is as follows:
$$ i = L\left[-{\overline{E}_{\text{f}} + \, \left( {\Delta_{\text{i}} p} \right)\overline{E}_{\text{p}} - \, \left( {\Delta_{\text{i}} q} \right)\overline{E}_{\text{q}} + \, \left( {\Delta_{i} c_{3} } \right)\overline{E}^{3} } \right] \, + \, \left( { 5/2} \right)RT $$
(6)
The values of Δip,− Δiq, and Δic3 are given in Table 4. The second of these determines the loss of exchange energy and peaks at f7.
Table 4

Values of the coefficients in Eq. (6)

Process

Δip

− Δiq

Δic3

f1 → f0

0

0

0

f2 → f1

− 1

1

+ 9

f3 → f2

− 2

2

+ 12

f4 → f3

− 3

3

0

f5 → f4

− 4

4

− 12

f6 → f5

− 5

5

− 9

f7 → f6

− 6

6

0

f8 → f7

− 7

0

0

f9 → f8

− 8

1

+ 9

f10 → f9

− 9

2

+ 12

f11 → f10

− 10

3

0

f12 → f11

− 11

4

− 12

f13 → f12

− 12

5

− 9

f14 → f13

− 13

6

0

As with the tetrad effect, the irregularities in Δic3 centred on the quarter- and the three-quarter full shell are associated with the ability of electrons to keep apart better if their m l values have the same sign rather than opposite. This eases the general increase in interelectronic repulsion in the first quarter of the series, where electrons have m l values of the same sign, relative to the second quarter, where they have both positive and negative values (Table 2). On ionization, this easement is lost in the first quarter and gained in the second (Table 4); similarly in the third quarter over the fourth quarter.

Errors have subsequently been identified in the original publication. Table 5 was incorrectly published and the corrected table is given below:
Table 5

Nature of apparently bivalent compounds

At room temperature and pressure

S salt-like, M metallic, X mixed

aPredicted (from Fig. 6)

bAttempts to prepare LnI2 by the reaction of Ln with LnI3, which were successful at dysprosium, were unsuccessful in these cases (Johnson and Corbett 1970)

Copyright information

© Springer Science+Business Media B.V., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of ChemistryUniversity of HullHullUK
  2. 2.Department of ChemistryThe Open UniversityMilton KeynesUK

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