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

using model chemistry: B3LYP/CEP-31G*

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at B3LYP/CEP-31G*
 hartrees
Energy at 0K-27.963679
Energy at 298.15K-27.972042
Nuclear repulsion energy71.445054
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 B3LYP/CEP-31G*
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 3058 2953 74.47      
2 A1 2968 2866 92.23      
3 A1 1490 1439 22.15      
4 A1 1420 1372 1.21      
5 A1 1082 1045 0.84      
6 A1 756 730 0.91      
7 A1 258 250 7.76      
8 A2 3092 2986 0.00      
9 A2 1470 1419 0.00      
10 A2 949 916 0.00      
11 A2 133 129 0.00      
12 E 3098 2992 70.61      
12 E 3098 2992 70.65      
13 E 3052 2947 25.72      
13 E 3052 2947 25.71      
14 E 2959 2858 34.96      
14 E 2959 2858 34.97      
15 E 1493 1442 2.74      
15 E 1493 1442 2.74      
16 E 1472 1421 3.97      
16 E 1472 1421 3.98      
17 E 1401 1353 6.56      
17 E 1401 1353 6.56      
18 E 1281 1237 10.34      
18 E 1281 1237 10.34      
19 E 998 964 2.75      
19 E 998 964 2.75      
20 E 918 887 0.03      
20 E 918 887 0.03      
21 E 360 348 0.01      
21 E 360 348 0.01      
22 E 144 139 0.01      
22 E 144 139 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 25513.9 cm-1
Scaled (by 0.9657) Zero Point Vibrational Energy (zpe) 24638.8 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 B3LYP/CEP-31G*
ABC
0.25948 0.25948 0.14105

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-31G*

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.203
C2 0.000 1.505 -0.011
C3 1.304 -0.753 -0.011
C4 -1.304 -0.753 -0.011
H5 0.000 1.767 -1.093
H6 1.530 -0.883 -1.093
H7 -1.530 -0.883 -1.093
H8 -0.895 1.978 0.432
H9 0.895 1.978 0.432
H10 2.161 -0.214 0.432
H11 1.266 -1.765 0.432
H12 -1.266 -1.765 0.432
H13 -2.161 -0.214 0.432

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.52031.52031.52032.19132.19132.19132.18372.18372.18372.18372.18372.1837
C21.52032.60712.60711.11373.03613.03611.10531.10532.79673.53413.53412.7967
C31.52032.60712.60713.03611.11373.03613.53412.79671.10531.10532.79673.5341
C41.52032.60712.60713.03613.03611.11372.79673.53413.53412.79671.10531.1053
H52.19131.11373.03613.03613.05993.05991.78131.78133.30444.04954.04953.3044
H62.19133.03611.11373.03613.05993.05994.04953.30441.78131.78133.30444.0495
H72.19133.03613.03611.11373.05993.05993.30444.04954.04953.30441.78131.7813
H82.18371.10533.53412.79671.78134.04953.30441.79083.76154.32233.76152.5314
H92.18371.10532.79673.53411.78133.30444.04951.79082.53143.76154.32233.7615
H102.18372.79671.10533.53413.30441.78134.04953.76152.53141.79083.76154.3223
H112.18373.53411.10532.79674.04951.78133.30444.32233.76151.79082.53143.7615
H122.18373.53412.79671.10534.04953.30441.78133.76154.32233.76152.53141.7908
H132.18372.79673.53411.10533.30444.04951.78132.53143.76154.32233.76151.7908

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 111.660 C1 C2 H8 111.569
C1 C2 H9 111.569 C1 C3 H6 111.660
C1 C3 H10 111.569 C1 C3 H11 111.569
C1 C4 H7 111.660 C1 C4 H12 111.569
C1 C4 H13 111.569 C2 C1 C3 118.056
C2 C1 C4 118.056 C3 C1 C4 118.056
H5 C2 H8 106.786 H5 C2 H9 106.786
H6 C3 H10 106.786 H6 C3 H11 106.786
H7 C4 H12 106.786 H7 C4 H13 106.786
H8 C2 H9 108.209 H10 C3 H11 108.209
H12 C4 H13 108.209
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.031      
2 C -0.458      
3 C -0.458      
4 C -0.458      
5 H 0.133      
6 H 0.133      
7 H 0.133      
8 H 0.158      
9 H 0.158      
10 H 0.158      
11 H 0.158      
12 H 0.158      
13 H 0.158      


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 -0.404 0.404
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -26.883 0.000 0.000
y 0.000 -26.883 0.000
z 0.000 0.000 -27.526
Traceless
 xyz
x 0.322 0.000 0.000
y 0.000 0.322 0.000
z 0.000 0.000 -0.643
Polar
3z2-r2-1.286
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 6.926 0.000 0.000
y 0.000 6.927 0.000
z 0.000 0.000 5.200


<r2> (average value of r2) Å2
<r2> 86.644
(<r2>)1/2 9.308