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All results from a given calculation for C(CH3)3 (Tert-butyl radical)

using model chemistry: wB97X-D/aug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at wB97X-D/aug-cc-pVTZ
 hartrees
Energy at 0K-157.802622
Energy at 298.15K-157.811284
HF Energy-157.802622
Nuclear repulsion energy125.749088
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at wB97X-D/aug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3066 2932 40.78      
2 A1 2967 2839 77.59      
3 A1 1499 1434 21.54      
4 A1 1432 1370 2.39      
5 A1 1107 1059 0.37      
6 A1 773 739 1.55      
7 A1 269 258 3.61      
8 A2 3110 2975 0.00      
9 A2 1477 1413 0.00      
10 A2 975 933 0.00      
11 A2 168 161 0.00      
12 E 3114 2978 43.43      
12 E 3114 2978 43.59      
13 E 3065 2932 19.71      
13 E 3065 2932 19.71      
14 E 2960 2831 36.94      
14 E 2960 2831 36.88      
15 E 1502 1437 3.54      
15 E 1502 1437 3.53      
16 E 1479 1415 3.00      
16 E 1479 1415 3.00      
17 E 1408 1347 6.89      
17 E 1408 1347 6.87      
18 E 1308 1251 5.29      
18 E 1308 1251 5.26      
19 E 1017 973 1.98      
19 E 1017 973 1.96      
20 E 947 906 0.40      
20 E 947 906 0.39      
21 E 385 368 0.13      
21 E 385 368 0.13      
22 E 169 162 0.01      
22 E 169 162 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 25775.7 cm-1
Scaled (by 0.9566) Zero Point Vibrational Energy (zpe) 24657.0 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at wB97X-D/aug-cc-pVTZ
ABC
0.26890 0.26890 0.14597

See section I.F.4 to change rotational constant units
Geometric Data calculated at wB97X-D/aug-cc-pVTZ

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.153
C2 0.000 1.478 -0.015
C3 1.280 -0.739 -0.015
C4 -1.280 -0.739 -0.015
H5 0.000 1.766 -1.078
H6 1.529 -0.883 -1.078
H7 -1.529 -0.883 -1.078
H8 -0.885 1.934 0.432
H9 0.885 1.934 0.432
H10 2.118 -0.201 0.432
H11 1.233 -1.734 0.432
H12 -1.233 -1.734 0.432
H13 -2.118 -0.201 0.432

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.48751.48751.48752.15232.15232.15232.14542.14542.14542.14542.14542.1454
C21.48752.55992.55991.10073.00663.00661.09171.09172.73913.46903.46902.7391
C31.48752.55992.55993.00661.10073.00663.46902.73911.09171.09172.73913.4690
C41.48752.55992.55993.00663.00661.10072.73913.46903.46902.73911.09171.0917
H52.15231.10073.00663.00663.05803.05801.75821.75823.26044.00544.00543.2604
H62.15233.00661.10073.00663.05803.05804.00543.26041.75821.75823.26044.0054
H72.15233.00663.00661.10073.05803.05803.26044.00544.00543.26041.75821.7582
H82.14541.09173.46902.73911.75824.00543.26041.77013.68444.23543.68442.4653
H92.14541.09172.73913.46901.75823.26044.00541.77012.46533.68444.23543.6844
H102.14542.73911.09173.46903.26041.75824.00543.68442.46531.77013.68444.2354
H112.14543.46901.09172.73914.00541.75823.26044.23543.68441.77012.46533.6844
H122.14543.46902.73911.09174.00543.26041.75823.68444.23543.68442.46531.7701
H132.14542.73913.46901.09173.26044.00541.75822.46533.68444.23543.68441.7701

picture of Tert-butyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 H5 111.648 C1 C2 H8 111.651
C1 C2 H9 111.651 C1 C3 H6 111.648
C1 C3 H10 111.651 C1 C3 H11 111.651
C1 C4 H7 111.648 C1 C4 H12 111.651
C1 C4 H13 111.651 C2 C1 C3 118.735
C2 C1 C4 118.735 C3 C1 C4 118.735
H5 C2 H8 106.641 H5 C2 H9 106.641
H6 C3 H10 106.641 H6 C3 H11 106.641
H7 C4 H12 106.641 H7 C4 H13 106.641
H8 C2 H9 108.333 H10 C3 H11 108.333
H12 C4 H13 108.333
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at wB97X-D/aug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.545      
2 C -0.994      
3 C -0.994      
4 C -0.994      
5 H 0.254      
6 H 0.254      
7 H 0.254      
8 H 0.279      
9 H 0.279      
10 H 0.279      
11 H 0.279      
12 H 0.279      
13 H 0.279      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -0.231 0.231
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.447 0.000 0.000
y 0.000 -27.447 0.000
z 0.000 0.000 -28.193
Traceless
 xyz
x 0.373 0.000 0.000
y 0.000 0.373 0.000
z 0.000 0.000 -0.747
Polar
3z2-r2-1.493
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 8.364 0.000 0.000
y 0.000 8.364 0.001
z 0.000 0.001 6.983


<r2> (average value of r2) Å2
<r2> 97.914
(<r2>)1/2 9.895