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All results from a given calculation for C7H12 (Norbornane)

using model chemistry: mPW1PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2V 1A1
Energy calculated at mPW1PW91/3-21G
 hartrees
Energy at 0K-272.444424
Energy at 298.15K-272.459544
Nuclear repulsion energy326.925920
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 mPW1PW91/3-21G
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 3161 3018 38.75      
2 A1 3159 3015 22.07      
3 A1 3100 2959 5.72      
4 A1 3093 2952 34.09      
5 A1 1576 1504 1.41      
6 A1 1532 1463 11.48      
7 A1 1370 1307 3.66      
8 A1 1315 1255 2.41      
9 A1 1201 1147 1.73      
10 A1 1028 981 0.03      
11 A1 953 910 2.19      
12 A1 900 859 2.15      
13 A1 842 803 0.01      
14 A1 778 742 1.37      
15 A1 421 402 0.04      
16 A2 3132 2989 0.00      
17 A2 3088 2948 0.00      
18 A2 1533 1464 0.00      
19 A2 1359 1297 0.00      
20 A2 1339 1278 0.00      
21 A2 1276 1218 0.00      
22 A2 1177 1124 0.00      
23 A2 992 947 0.00      
24 A2 984 939 0.00      
25 A2 564 539 0.00      
26 A2 161 154 0.00      
27 B1 3156 3013 40.50      
28 B1 3150 3007 0.04      
29 B1 3100 2959 67.34      
30 B1 1551 1481 9.96      
31 B1 1379 1316 0.95      
32 B1 1257 1200 5.70      
33 B1 1173 1120 0.14      
34 B1 1071 1023 0.46      
35 B1 976 931 0.76      
36 B1 907 866 1.48      
37 B1 816 779 0.80      
38 B1 450 430 0.02      
39 B2 3152 3009 57.24      
40 B2 3135 2993 6.10      
41 B2 3087 2947 42.92      
42 B2 1549 1478 4.89      
43 B2 1375 1313 7.93      
44 B2 1335 1275 0.09      
45 B2 1307 1248 2.30      
46 B2 1200 1146 0.17      
47 B2 1117 1067 0.51      
48 B2 998 952 0.75      
49 B2 841 802 3.79      
50 B2 787 752 0.07      
51 B2 354 338 0.17      

Unscaled Zero Point Vibrational Energy (zpe) 39627.1 cm-1
Scaled (by 0.9546) Zero Point Vibrational Energy (zpe) 37828.0 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 mPW1PW91/3-21G
ABC
0.12206 0.10710 0.09261

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/3-21G

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.397
C2 0.000 1.138 0.349
C3 0.000 -1.138 0.349
C4 1.247 0.785 -0.498
C5 -1.247 0.785 -0.498
C6 -1.247 -0.785 -0.498
C7 1.247 -0.785 -0.498
H8 -0.898 0.000 2.022
H9 0.898 0.000 2.022
H10 0.000 2.156 0.741
H11 0.000 -2.156 0.741
H12 2.156 1.171 -0.025
H13 -2.156 -1.171 -0.025
H14 2.156 -1.171 -0.025
H15 -2.156 1.171 -0.025
H16 1.177 -1.200 -1.507
H17 -1.177 1.200 -1.507
H18 1.177 1.200 -1.507
H19 -1.177 -1.200 -1.507

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19
C11.54741.54742.40042.40042.40042.40041.09471.09472.25402.25402.83612.83612.83612.83613.35573.35573.35573.3557
C21.54742.27681.54861.54862.44362.44362.21442.21441.09113.31812.18893.18163.18162.18893.20952.19882.19883.2095
C31.54742.27682.44362.44361.54861.54862.21442.21443.31811.09113.18162.18892.18893.18162.19883.20953.20952.1988
C42.40041.54862.44362.49502.94751.56943.40172.66252.23013.42661.09493.95402.20763.45832.22812.65911.09393.2922
C52.40041.54862.44362.49501.56942.94752.66253.40172.23013.42663.45832.20763.95401.09493.29221.09392.65912.2281
C62.40042.44361.54862.94751.56942.49502.66253.40173.42662.23013.95401.09493.45832.20762.65912.22813.29221.0939
C72.40042.44361.54861.56942.94752.49503.40172.66253.42662.23012.20763.45831.09493.95401.09393.29222.22812.6591
H81.09472.21442.21443.40172.66252.66253.40171.79682.66442.66443.85942.67313.85942.67314.26693.73854.26693.7385
H91.09472.21442.21442.66253.40173.40172.66251.79682.66442.66442.67313.85942.67313.85943.73854.26693.73854.2669
H102.25401.09113.31812.23012.23013.42663.42662.66442.66444.31302.49194.03834.03832.49194.20832.71202.71204.2083
H112.25403.31811.09113.42663.42662.23012.23012.66442.66444.31304.03832.49192.49194.03832.71204.20834.20832.7120
H122.83612.18893.18161.09493.45833.95402.20763.85942.67312.49194.03834.90762.34154.31302.96283.64841.77664.3512
H132.83613.18162.18893.95402.20761.09493.45832.67313.85944.03832.49194.90764.31302.34153.64842.96284.35121.7766
H142.83613.18162.18892.20763.95403.45831.09493.85942.67314.03832.49192.34154.31304.90761.77664.35122.96283.6484
H152.83612.18893.18163.45831.09492.20763.95402.67313.85942.49194.03834.31302.34154.90764.35121.77663.64842.9628
H163.35573.20952.19882.22813.29222.65911.09394.26693.73854.20832.71202.96283.64841.77664.35123.36272.40092.3545
H173.35572.19883.20952.65911.09392.22813.29223.73854.26692.71204.20833.64842.96284.35121.77663.36272.35452.4009
H183.35572.19883.20951.09392.65913.29222.22814.26693.73852.71204.20831.77664.35122.96283.64842.40092.35453.3627
H193.35573.20952.19883.29222.22811.09392.65913.73854.26694.20832.71204.35121.77663.64842.96282.35452.40093.3627

picture of Norbornane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 101.671 C1 C2 C5 101.671
C1 C2 H10 116.289 C1 C3 C6 101.671
C1 C3 C7 101.671 C1 C3 H11 116.289
C2 C1 C3 94.729 C2 C1 H8 112.767
C2 C1 H9 112.767 C2 C4 C7 103.203
C2 C4 H12 110.623 C2 C4 H18 111.465
C2 C5 C6 103.203 C2 C5 H15 110.623
C2 C5 H17 111.465 C3 C1 H8 112.767
C3 C1 H9 112.767 C3 C6 C5 103.203
C3 C6 H13 110.623 C3 C6 H19 111.465
C3 C7 C4 103.203 C3 C7 H14 110.623
C3 C7 H16 111.465 C4 C2 C5 107.327
C4 C2 H10 114.187 C4 C7 H14 110.646
C4 C7 H16 112.340 C5 C2 H10 114.187
C5 C6 H13 110.646 C5 C6 H19 112.340
C6 C3 C7 107.327 C6 C3 H11 114.187
C6 C5 H15 110.646 C6 C5 H17 112.340
C7 C3 H11 114.187 C7 C4 H12 110.646
C7 C4 H18 112.340 H8 C1 H9 110.313
H12 C4 H18 108.522 H13 C6 H19 108.522
H14 C7 H16 108.522 H15 C5 H17 108.522
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.368      
2 C -0.307      
3 C -0.307      
4 C -0.389      
5 C -0.389      
6 C -0.389      
7 C -0.389      
8 H 0.212      
9 H 0.212      
10 H 0.204      
11 H 0.204      
12 H 0.215      
13 H 0.215      
14 H 0.215      
15 H 0.215      
16 H 0.212      
17 H 0.212      
18 H 0.212      
19 H 0.212      


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 0.057 0.057
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -44.550 0.000 0.000
y 0.000 -44.777 0.000
z 0.000 0.000 -44.414
Traceless
 xyz
x 0.045 0.000 0.000
y 0.000 -0.295 0.000
z 0.000 0.000 0.250
Polar
3z2-r20.500
x2-y20.227
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.771 0.000 0.000
y 0.000 9.295 0.000
z 0.000 0.000 9.176


<r2> (average value of r2) Å2
<r2> 0.000
(<r2>)1/2 0.000