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

using model chemistry: mPW1PW91/6-311G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at mPW1PW91/6-311G*
 hartrees
Energy at 0K-157.787131
Energy at 298.15K-157.795594
Nuclear repulsion energy125.608492
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 mPW1PW91/6-311G*
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 3069 2929 53.44      
2 A1 2970 2835 86.71      
3 A1 1512 1443 25.29      
4 A1 1442 1376 1.87      
5 A1 1104 1053 0.00      
6 A1 777 742 1.21      
7 A1 265 253 4.21      
8 A2 3112 2970 0.00      
9 A2 1489 1421 0.00      
10 A2 976 931 0.00      
11 A2 131 125 0.00      
12 E 3116 2974 54.17      
12 E 3116 2974 54.17      
13 E 3067 2927 21.72      
13 E 3067 2927 21.72      
14 E 2960 2825 39.45      
14 E 2960 2825 39.44      
15 E 1516 1447 4.05      
15 E 1516 1447 4.05      
16 E 1490 1422 4.26      
16 E 1490 1422 4.26      
17 E 1417 1352 8.00      
17 E 1417 1352 8.00      
18 E 1315 1255 5.14      
18 E 1315 1255 5.14      
19 E 1022 975 2.65      
19 E 1022 975 2.65      
20 E 944 901 0.36      
20 E 944 901 0.36      
21 E 381 363 0.07      
21 E 381 363 0.07      
22 E 137 130 0.01      
22 E 137 130 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 25787.3 cm-1
Scaled (by 0.9544) Zero Point Vibrational Energy (zpe) 24611.4 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 mPW1PW91/6-311G*
ABC
0.26834 0.26834 0.14562

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-311G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.155
C2 0.000 1.479 -0.016
C3 1.281 -0.740 -0.016
C4 -1.281 -0.740 -0.016
H5 0.000 1.771 -1.079
H6 1.534 -0.886 -1.079
H7 -1.534 -0.886 -1.079
H8 -0.885 1.942 0.431
H9 0.885 1.942 0.431
H10 2.124 -0.205 0.431
H11 1.239 -1.737 0.431
H12 -1.239 -1.737 0.431
H13 -2.124 -0.205 0.431

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.48901.48901.48902.15922.15922.15922.15132.15132.15132.15132.15132.1513
C21.48902.56192.56191.10313.01273.01271.09361.09362.74683.47523.47522.7468
C31.48902.56192.56193.01271.10313.01273.47522.74681.09361.09362.74683.4752
C41.48902.56192.56193.01273.01271.10312.74683.47523.47522.74681.09361.0936
H52.15921.10313.01273.01273.06793.06791.75881.75883.27064.01554.01553.2706
H62.15923.01271.10313.01273.06793.06794.01553.27061.75881.75883.27064.0155
H72.15923.01273.01271.10313.06793.06793.27064.01554.01553.27061.75881.7588
H82.15131.09363.47522.74681.75884.01553.27061.76913.69544.24743.69542.4783
H92.15131.09362.74683.47521.75883.27064.01551.76912.47833.69544.24743.6954
H102.15132.74681.09363.47523.27061.75884.01553.69542.47831.76913.69544.2474
H112.15133.47521.09362.74684.01551.75883.27064.24743.69541.76912.47833.6954
H122.15133.47522.74681.09364.01553.27061.75883.69544.24743.69542.47831.7691
H132.15132.74683.47521.09363.27064.01551.75882.47833.69544.24743.69541.7691

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 111.960 C1 C2 H8 111.905
C1 C2 H9 111.905 C1 C3 H6 111.960
C1 C3 H10 111.905 C1 C3 H11 111.905
C1 C4 H7 111.960 C1 C4 H12 111.905
C1 C4 H13 111.905 C2 C1 C3 118.697
C2 C1 C4 118.697 C3 C1 C4 118.697
H5 C2 H8 106.384 H5 C2 H9 106.384
H6 C3 H10 106.384 H6 C3 H11 106.384
H7 C4 H12 106.384 H7 C4 H13 106.384
H8 C2 H9 107.960 H10 C3 H11 107.960
H12 C4 H13 107.960
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-311G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.028      
2 C -0.675      
3 C -0.675      
4 C -0.675      
5 H 0.217      
6 H 0.217      
7 H 0.217      
8 H 0.224      
9 H 0.224      
10 H 0.224      
11 H 0.224      
12 H 0.224      
13 H 0.224      


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 -0.221 0.221
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.364 0.000 0.000
y 0.000 -27.364 0.000
z 0.000 0.000 -28.247
Traceless
 xyz
x 0.442 0.000 0.000
y 0.000 0.442 0.000
z 0.000 0.000 -0.883
Polar
3z2-r2-1.766
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 0.000 0.000 0.000
y 0.000 0.000 0.000
z 0.000 0.000 0.000


<r2> (average value of r2) Å2
<r2> 98.138
(<r2>)1/2 9.906