Back to Vibrational Relationships - Derivation
The following quantities should be regarded as definitions.
|
Fundamental Constants |
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|
Quantity |
Symbol(s) |
Value |
Units |
||
|
Avogadro constant |
N, NA, L |
6.022 140 857 x 1023 |
1 |
mol-1 |
|
|
|
k |
1.380 648 52 x 10-23 |
1 |
J K-1 |
|
| Dyne | dyn | 1 x 105 | 1,2 | J m-1 | |
|
|
|
1.602 176 6208 x 10-19 | 1 | J | |
| Kilocalorie | kcal | 4184 | 1,2,4 | J | |
| Erg | erg | 1 x 10-7 | 2 | J | |
| Plank's constant | h | 6.626 0755 x 10-27 | 1 | erg s | |
|
|
c, c0 | 299 792 458 | 1,2,3 | m s-1 | |
mol: chemical mole
J: Joule = 107 erg
K: Kelvin degree
m: meter
s: second
(of time)
1: Abstracted from the NIST
on-line CODATA
Internationally recommended 2014 values of the Fundamental Physical Constants.
2: This quantity is exact, therefore no decimal point.
3: The meter is
defined in terms of the speed of light.
4: The thermochemical kilocalorie is
defined in terms of the Joule.
The following terms are used in the derivation of vibrational quantities. These terms are calculated using information in the Fundamental Constants table (above).
|
Secondary Constants |
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|
Quantity |
Symbol(s) |
Value |
Units |
||
| Mole | mol | N | 6.0221 x 1023 | # atoms in 12 g of carbon-12 | |
| Kilocalorie per mole | kcal mol-1 | kcal x N-1 | 1.0 | kcal mol-1 | |
| Millidynes per Ångstrom (mdynes A-1) | F, Force | J x m-2 | 100 | 10-3 dyn Å-1 | |
|
|
|
eV x h-1 x c-1 | 8065.8 | cm-1 | |
|
|
|
eV x N x kcal-1 | 23.060 | kcal mol-1 | |
|
Reciprocal centimeters (in kcal mol-1) |
cm-1 | N x h x c x kcal-1 | 2.8591 x 10-3 | kcal mol-1 | |
|
Other Relationships |
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|
Quantity |
Is the same as |
||
| Dynes per centimeter | 10-5 | mdynes A-1 | |
| Newton | 1 | J m-1 | |
| Newton per meter | 1 | J x m-2 | |