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

using model chemistry: B97D3/6-311+G(3df,2p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C3V 2A"
Energy calculated at B97D3/6-311+G(3df,2p)
 hartrees
Energy at 0K-157.750568
Energy at 298.15K-157.758905
HF Energy-157.750568
Nuclear repulsion energy125.269417
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 B97D3/6-311+G(3df,2p)
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 2975 2936 44.08      
2 A1 2874 2837 99.24      
3 A1 1458 1439 18.09      
4 A1 1395 1376 2.13      
5 A1 1070 1056 0.39      
6 A1 749 739 1.20      
7 A1 260 257 2.94      
8 A2 3018 2979 0.00      
9 A2 1438 1419 0.00      
10 A2 951 939 0.00      
11 A2 121 120 0.00      
12 E 3023 2984 55.00      
12 E 3023 2984 54.98      
13 E 2973 2934 27.57      
13 E 2973 2934 27.57      
14 E 2863 2825 48.26      
14 E 2863 2825 48.26      
15 E 1463 1443 3.10      
15 E 1463 1443 3.10      
16 E 1440 1421 2.34      
16 E 1440 1421 2.34      
17 E 1365 1347 2.46      
17 E 1365 1347 2.46      
18 E 1270 1253 5.86      
18 E 1270 1253 5.86      
19 E 989 976 1.76      
19 E 989 976 1.75      
20 E 916 904 0.68      
20 E 916 904 0.68      
21 E 378 374 0.16      
21 E 378 374 0.16      
22 E 123 121 0.02      
22 E 123 121 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 24955.7 cm-1
Scaled (by 0.987) Zero Point Vibrational Energy (zpe) 24631.3 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 B97D3/6-311+G(3df,2p)
ABC
0.26688 0.26688 0.14474

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/6-311+G(3df,2p)

Point Group is C3v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.145
C2 0.000 1.484 -0.014
C3 1.285 -0.742 -0.014
C4 -1.285 -0.742 -0.014
H5 0.000 1.785 -1.079
H6 1.546 -0.892 -1.079
H7 -1.546 -0.892 -1.079
H8 -0.889 1.941 0.437
H9 0.889 1.941 0.437
H10 2.126 -0.201 0.437
H11 1.237 -1.741 0.437
H12 -1.237 -1.741 0.437
H13 -2.126 -0.201 0.437

Atom - Atom Distances (Å)
  C1 C2 C3 C4 H5 H6 H7 H8 H9 H10 H11 H12 H13
C11.49241.49241.49242.16432.16432.16432.15492.15492.15492.15492.15492.1549
C21.49242.57032.57031.10693.02833.02831.09681.09682.74943.48283.48282.7494
C31.49242.57032.57033.02831.10693.02833.48282.74941.09681.09682.74943.4828
C41.49242.57032.57033.02833.02831.10692.74943.48283.48282.74941.09681.0968
H52.16431.10693.02833.02833.09133.09131.76471.76473.28014.03194.03193.2801
H62.16433.02831.10693.02833.09133.09134.03193.28011.76471.76473.28014.0319
H72.16433.02833.02831.10693.09133.09133.28014.03194.03193.28011.76471.7647
H82.15491.09683.48282.74941.76474.03193.28011.77823.69804.25123.69802.4730
H92.15491.09682.74943.48281.76473.28014.03191.77822.47303.69804.25123.6980
H102.15492.74941.09683.48283.28011.76474.03193.69802.47301.77823.69804.2512
H112.15493.48281.09682.74944.03191.76473.28014.25123.69801.77822.47303.6980
H122.15493.48282.74941.09684.03193.28011.76473.69804.25123.69802.47301.7782
H132.15492.74943.48281.09683.28014.03191.76472.47303.69804.25123.69801.7782

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 111.888 C1 C2 H8 111.754
C1 C2 H9 111.754 C1 C3 H6 111.888
C1 C3 H10 111.754 C1 C3 H11 111.754
C1 C4 H7 111.888 C1 C4 H12 111.754
C1 C4 H13 111.754 C2 C1 C3 118.879
C2 C1 C4 118.879 C3 C1 C4 118.879
H5 C2 H8 106.411 H5 C2 H9 106.411
H6 C3 H10 106.411 H6 C3 H11 106.411
H7 C4 H12 106.411 H7 C4 H13 106.411
H8 C2 H9 108.314 H10 C3 H11 108.314
H12 C4 H13 108.314
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/6-311+G(3df,2p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.099      
2 C -0.310      
3 C -0.310      
4 C -0.310      
5 H 0.124      
6 H 0.124      
7 H 0.124      
8 H 0.110      
9 H 0.110      
10 H 0.110      
11 H 0.110      
12 H 0.110      
13 H 0.110      


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 -0.190 0.190
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -27.829 0.000 0.000
y 0.000 -27.829 0.000
z 0.000 0.000 -28.489
Traceless
 xyz
x 0.330 0.000 0.000
y 0.000 0.330 0.000
z 0.000 0.000 -0.660
Polar
3z2-r2-1.321
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 8.807 0.000 0.000
y 0.000 8.808 -0.000
z 0.000 -0.000 7.047


<r2> (average value of r2) Å2
<r2> 98.833
(<r2>)1/2 9.941