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

using model chemistry: B3PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at B3PW91/6-31G(2df,p)
 hartrees
Energy at 0K-157.756638
Energy at 298.15K 
Nuclear repulsion energy125.278714
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 B3PW91/6-31G(2df,p)
Rotational Constants (cm-1) from geometry optimized at B3PW91/6-31G(2df,p)
ABC
0.26681 0.26678 0.14457

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.136
C2 0.000 1.485 -0.014
C3 1.286 -0.742 -0.014
C4 -1.286 -0.742 -0.014
H5 0.000 1.798 -1.073
H6 1.557 -0.899 -1.073
H7 -1.557 -0.899 -1.073
H8 0.888 1.939 0.442
H9 -0.888 1.939 0.442
H10 1.235 -1.738 0.442
H11 2.123 -0.200 0.442
H12 -2.123 -0.200 0.442
H13 -1.235 -1.738 0.442

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.49201.49201.49202.16702.16702.16702.15402.15402.15402.15402.15402.1540
C21.49202.57122.57121.10513.03803.03801.09631.09633.48102.74812.74813.4810
C31.49202.57122.57123.03801.10513.03802.74813.48101.09631.09633.48102.7481
C41.49202.57122.57123.03803.03801.10513.48102.74812.74813.48101.09631.0963
H52.16701.10513.03803.03803.11463.11461.76171.76174.04063.28573.28574.0406
H62.16703.03801.10513.03803.11463.11463.28574.04061.76171.76174.04063.2857
H72.16703.03803.03801.10513.11463.11464.04063.28573.28574.04061.76171.7617
H82.15401.09632.74813.48101.76173.28574.04061.77553.69292.46983.69294.2454
H92.15401.09633.48102.74811.76174.04063.28571.77554.24543.69292.46983.6929
H102.15403.48101.09632.74814.04061.76173.28573.69294.24541.77553.69292.4698
H112.15402.74811.09633.48103.28571.76174.04062.46983.69291.77554.24543.6929
H122.15402.74813.48101.09633.28574.04061.76173.69292.46983.69294.24541.7755
H132.15403.48102.74811.09634.04063.28571.76174.24543.69292.46983.69291.7755

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 112.248 C1 C2 H8 111.738
C1 C2 H9 111.738 C1 C3 H6 112.248
C1 C3 H10 111.738 C1 C3 H11 111.738
C1 C4 H7 112.248 C1 C4 H12 111.738
C1 C4 H13 111.738 C2 C1 C3 119.007
C2 C1 C4 119.007 C3 C1 C4 119.007
H5 C2 H8 106.314 H5 C2 H9 106.314
H6 C3 H10 106.314 H6 C3 H11 106.314
H7 C4 H12 106.314 H7 C4 H13 106.314
H8 C2 H9 108.156 H10 C3 H11 108.156
H12 C4 H13 108.156
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.214      
2 C -0.488      
3 C -0.488      
4 C -0.488      
5 H 0.138      
6 H 0.138      
7 H 0.138      
8 H 0.139      
9 H 0.139      
10 H 0.139      
11 H 0.139      
12 H 0.139      
13 H 0.139      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 -0.188 0.000 0.188
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.826 0.001 0.000
y 0.001 -27.457 0.000
z 0.000 0.000 -26.826
Traceless
 xyz
x 0.315 0.001 0.000
y 0.001 -0.630 0.000
z 0.000 0.000 0.315
Polar
3z2-r20.630
x2-y20.630
xy0.001
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.224 0.001 0.000
y 0.001 5.615 0.000
z 0.000 0.000 7.223


<r2> (average value of r2) Å2
<r2> 98.273
(<r2>)1/2 9.913