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

using model chemistry: MP2/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at MP2/3-21G
 hartrees
Energy at 0K-156.157057
Energy at 298.15K-156.165731
HF Energy-155.808196
Nuclear repulsion energy124.408425
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 MP2/3-21G
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 3104 2963 44.45      
2 A1 3025 2887 34.48      
3 A1 1595 1522 19.33      
4 A1 1506 1437 1.06      
5 A1 1178 1125 0.55      
6 A1 737 703 0.65      
7 A1 264 252 4.57      
8 A2 3140 2997 0.00      
9 A2 1582 1510 0.00      
10 A2 1031 984 0.00      
11 A2 173 165 0.00      
12 E 3145 3002 36.47      
12 E 3145 3002 36.47      
13 E 3102 2961 10.42      
13 E 3102 2961 10.42      
14 E 3021 2884 19.09      
14 E 3021 2884 19.09      
15 E 1600 1527 3.95      
15 E 1600 1527 3.95      
16 E 1578 1506 1.79      
16 E 1578 1506 1.79      
17 E 1481 1414 6.17      
17 E 1481 1414 6.17      
18 E 1319 1259 10.55      
18 E 1319 1259 10.55      
19 E 1041 993 1.23      
19 E 1041 993 1.23      
20 E 991 946 0.09      
20 E 991 946 0.09      
21 E 385 367 0.01      
21 E 385 367 0.01      
22 E 161 154 0.00      
22 E 161 154 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 26490.4 cm-1
Scaled (by 0.9545) Zero Point Vibrational Energy (zpe) 25285.1 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 MP2/3-21G
ABC
0.26256 0.26256 0.14288

See section I.F.4 to change rotational constant units
Geometric Data calculated at MP2/3-21G

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.198
C2 0.000 1.498 -0.023
C3 1.298 -0.749 -0.023
C4 -1.298 -0.749 -0.023
H5 0.000 1.742 -1.099
H6 1.509 -0.871 -1.099
H7 -1.509 -0.871 -1.099
H8 -0.890 1.958 0.422
H9 0.890 1.958 0.422
H10 2.141 -0.208 0.422
H11 1.251 -1.750 0.422
H12 -1.251 -1.750 0.422
H13 -2.141 -0.208 0.422

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.51471.51471.51472.17262.17262.17262.16272.16272.16272.16272.16272.1627
C21.51472.59532.59531.10323.00833.00831.09651.09652.77393.50933.50932.7739
C31.51472.59532.59533.00831.10323.00833.50932.77391.09651.09652.77393.5093
C41.51472.59532.59533.00833.00831.10322.77393.50933.50932.77391.09651.0965
H52.17261.10323.00833.00833.01803.01801.77571.77573.27154.00954.00953.2715
H62.17263.00831.10323.00833.01803.01804.00953.27151.77571.77573.27154.0095
H72.17263.00833.00831.10323.01803.01803.27154.00954.00953.27151.77571.7757
H82.16271.09653.50932.77391.77574.00953.27151.78053.72584.28193.72582.5015
H92.16271.09652.77393.50931.77573.27154.00951.78052.50153.72584.28193.7258
H102.16272.77391.09653.50933.27151.77574.00953.72582.50151.78053.72584.2819
H112.16273.50931.09652.77394.00951.77573.27154.28193.72581.78052.50153.7258
H122.16273.50932.77391.09654.00953.27151.77573.72584.28193.72582.50151.7805
H132.16272.77393.50931.09653.27154.00951.77572.50153.72584.28193.72581.7805

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 111.202 C1 C2 H8 110.817
C1 C2 H9 110.817 C1 C3 H6 111.202
C1 C3 H10 110.817 C1 C3 H11 110.817
C1 C4 H7 111.202 C1 C4 H12 110.817
C1 C4 H13 110.817 C2 C1 C3 117.894
C2 C1 C4 117.894 C3 C1 C4 117.894
H5 C2 H8 107.656 H5 C2 H9 107.656
H6 C3 H10 107.656 H6 C3 H11 107.656
H7 C4 H12 107.656 H7 C4 H13 107.656
H8 C2 H9 108.562 H10 C3 H11 108.562
H12 C4 H13 108.562
Electronic energy levels

Electronic state

Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at MP2/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.019     0.178
2 C -0.563     -0.424
3 C -0.563     -0.420
4 C -0.563     -0.383
5 H 0.183     0.131
6 H 0.183     0.131
7 H 0.183     0.122
8 H 0.187     0.116
9 H 0.187     0.114
10 H 0.187     0.114
11 H 0.187     0.114
12 H 0.187     0.103
13 H 0.187     0.104


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 0.319 0.319
CHELPG        
AIM        
ESP 0.004 0.003 0.373 0.373


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.860 0.000 0.000
y 0.000 -27.860 0.000
z 0.000 0.000 -28.817
Traceless
 xyz
x 0.478 0.000 0.000
y 0.000 0.478 0.000
z 0.000 0.000 -0.956
Polar
3z2-r2-1.913
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 6.209 0.000 0.000
y 0.000 6.209 0.000
z 0.000 0.000 4.950


<r2> (average value of r2) Å2
<r2> 99.739
(<r2>)1/2 9.987