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All results from a given calculation for C7H14 (cycloheptane)

using model chemistry: PBEPBE/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C2 1A
Energy calculated at PBEPBE/3-21G
 hartrees
Energy at 0K-273.300879
Energy at 298.15K-273.317469
HF Energy-273.300879
Nuclear repulsion energy326.867458
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 PBEPBE/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 A 3012 2985 0.29      
2 A 3008 2980 19.93      
3 A 2994 2967 68.19      
4 A 2974 2947 16.64      
5 A 2967 2940 6.56      
6 A 2960 2933 1.20      
7 A 2957 2930 20.06      
8 A 1517 1503 0.58      
9 A 1500 1486 6.15      
10 A 1495 1481 1.21      
11 A 1492 1479 1.50      
12 A 1376 1364 0.39      
13 A 1370 1358 0.00      
14 A 1349 1337 0.11      
15 A 1311 1299 0.09      
16 A 1303 1291 0.60      
17 A 1225 1214 0.01      
18 A 1214 1203 0.12      
19 A 1100 1090 0.07      
20 A 1047 1038 1.79      
21 A 998 989 0.14      
22 A 951 943 2.43      
23 A 842 834 1.12      
24 A 816 809 2.06      
25 A 721 715 0.01      
26 A 507 502 0.47      
27 A 398 394 0.01      
28 A 296 293 0.02      
29 A 159 158 0.02      
30 B 3025 2998 106.96      
31 B 3014 2986 49.45      
32 B 3003 2976 50.72      
33 B 2993 2965 13.56      
34 B 2966 2939 27.70      
35 B 2963 2936 22.20      
36 B 2953 2926 16.65      
37 B 1517 1503 29.02      
38 B 1492 1478 9.21      
39 B 1490 1476 3.47      
40 B 1385 1372 0.54      
41 B 1365 1352 0.04      
42 B 1349 1337 0.11      
43 B 1341 1329 0.35      
44 B 1309 1297 0.56      
45 B 1221 1210 0.74      
46 B 1198 1187 0.66      
47 B 1113 1103 0.07      
48 B 1031 1022 1.19      
49 B 996 987 0.59      
50 B 949 940 2.74      
51 B 855 847 1.07      
52 B 798 791 5.00      
53 B 733 726 2.94      
54 B 483 479 0.78      
55 B 325 322 0.15      
56 B 269 267 0.32      
57 B 110 109 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 43052.7 cm-1
Scaled (by 0.9909) Zero Point Vibrational Energy (zpe) 42660.9 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 PBEPBE/3-21G
ABC
0.10418 0.09328 0.05696

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

Point Group is C2

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.794
C2 0.752 1.072 0.962
C3 -0.752 -1.072 0.962
C4 0.000 1.568 -0.303
C5 0.000 -1.568 -0.303
C6 0.314 0.706 -1.554
C7 -0.314 -0.706 -1.554
H8 -0.733 0.503 2.455
H9 0.733 -0.503 2.455
H10 1.733 0.670 0.641
H11 -1.733 -0.670 0.641
H12 0.969 1.931 1.627
H13 -0.969 -1.931 1.627
H14 0.314 2.608 -0.519
H15 -0.314 -2.608 -0.519
H16 -1.092 1.591 -0.120
H17 1.092 -1.591 -0.120
H18 1.416 0.611 -1.635
H19 -1.416 -0.611 -1.635
H20 -0.031 1.240 -2.461
H21 0.031 -1.240 -2.461

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21
C11.55191.55192.61882.61883.43563.43561.10751.10752.18682.18682.16702.16703.49983.49982.71802.71803.76003.76004.43214.4321
C21.55192.62011.55333.02322.57953.26022.18162.17011.10783.05221.10723.52512.17774.10792.20022.89522.72003.77923.51544.1934
C31.55192.62013.02321.55333.26022.57952.17012.18163.05221.10783.52511.10724.10792.17772.89522.20023.77922.72004.19343.5154
C42.61881.55333.02323.13621.55082.61413.04623.52592.16832.98382.19024.11191.10734.19341.10763.34802.16682.92032.18253.5415
C52.61883.02321.55333.13622.61411.55083.52593.04622.98382.16834.11192.19024.19341.10733.34801.10762.92032.16683.54152.1825
C63.43562.57953.26021.55082.61411.54584.14784.20732.61313.30163.47044.32622.16533.52822.19512.81761.10892.17661.10812.1659
C73.43563.26022.57952.61411.55081.54584.20734.14783.30162.61314.32623.47043.52822.16532.81762.19512.17661.10892.16591.1081
H81.10752.18162.17013.04623.52594.14784.20731.77783.06602.38012.37132.58133.79064.32352.81813.78734.62144.29335.01995.2711
H91.10752.17012.18163.52593.04624.20734.14781.77782.38013.06602.58132.37134.32353.79063.78732.81814.29334.62145.27115.0199
H102.18681.10783.05222.16832.98382.61313.30163.06602.38013.71601.77373.87802.66744.03463.06742.47042.29844.09133.61354.0206
H112.18683.05221.10782.98382.16833.30162.61312.38013.06603.71603.87801.77374.03462.66742.47043.06744.09132.29844.02063.6135
H122.16701.10723.52512.19024.11193.47044.32622.37132.58131.77373.87804.32102.34345.18182.72303.93353.54704.77424.26475.2579
H132.16703.52511.10724.11192.19024.32623.47042.58132.37133.87801.77374.32105.18182.34343.93352.72304.77423.54705.25794.2647
H143.49982.17774.10791.10734.19342.16533.52823.79064.32352.66744.03462.34345.18185.25361.78014.28962.53963.82132.40054.3198
H153.49984.10792.17774.19341.10733.52822.16534.32353.79064.03462.66745.18182.34345.25364.28961.78013.82132.53964.31982.4005
H162.71802.20022.89521.10763.34802.19512.81762.81813.78733.06742.47042.72303.93351.78014.28963.86023.09022.69322.59433.8420
H172.71802.89522.20023.34801.10762.81762.19513.78732.81812.47043.06743.93352.72304.28961.78013.86022.69323.09023.84202.5943
H183.76002.72003.77922.16682.92031.10892.17664.62144.29332.29844.09133.54704.77422.53963.82133.09022.69323.08521.78122.4554
H193.76003.77922.72002.92032.16682.17661.10894.29334.62144.09132.29844.77423.54703.82132.53962.69323.09023.08522.45541.7812
H204.43213.51544.19342.18253.54151.10812.16595.01995.27113.61354.02064.26475.25792.40054.31982.59433.84201.78122.45542.4811
H214.43214.19343.51543.54152.18252.16591.10815.27115.01994.02063.61355.25794.26474.31982.40053.84202.59432.45541.78122.4811

picture of cycloheptane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C4 114.989 C1 C2 H10 109.479
C1 C2 H12 107.989 C1 C3 C5 114.989
C1 C3 H11 109.479 C1 C3 H13 107.989
C2 C1 C3 115.161 C2 C1 H8 109.088
C2 C1 H9 108.215 C2 C4 C6 112.404
C2 C4 H14 108.707 C2 C4 H16 110.433
C3 C1 H8 108.215 C3 C1 H9 109.088
C3 C5 C7 112.404 C3 C5 H15 108.707
C3 C5 H17 110.433 C4 C2 H10 107.969
C4 C2 H12 109.679 C4 C6 C7 115.168
C4 C6 H18 107.956 C4 C6 H20 109.203
C5 C3 H11 107.969 C5 C3 H13 109.679
C5 C7 C6 115.168 C5 C7 H19 107.956
C5 C7 H21 109.203 C6 C4 H14 107.933
C6 C4 H16 110.207 C6 C7 H19 109.036
C6 C7 H21 108.267 C7 C5 H15 107.933
C7 C5 H17 110.207 C7 C6 H18 109.036
C7 C6 H20 108.267 H8 C1 H9 106.757
H10 C2 H12 106.404 H11 C3 H13 106.404
H14 C4 H16 106.963 H15 C5 H17 106.963
H18 C6 H20 106.909 H19 C7 H21 106.909
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.394      
2 C -0.397      
3 C -0.397      
4 C -0.402      
5 C -0.402      
6 C -0.389      
7 C -0.389      
8 H 0.198      
9 H 0.198      
10 H 0.198      
11 H 0.198      
12 H 0.200      
13 H 0.200      
14 H 0.200      
15 H 0.200      
16 H 0.197      
17 H 0.197      
18 H 0.194      
19 H 0.194      
20 H 0.197      
21 H 0.197      


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 -0.004 0.004
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -46.266 -0.068 0.000
y -0.068 -46.244 0.000
z 0.000 0.000 -46.560
Traceless
 xyz
x 0.136 -0.068 0.000
y -0.068 0.169 0.000
z 0.000 0.000 -0.305
Polar
3z2-r2-0.610
x2-y2-0.022
xy-0.068
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.266 0.384 0.000
y 0.384 10.633 0.000
z 0.000 0.000 10.948


<r2> (average value of r2) Å2
<r2> 229.803
(<r2>)1/2 15.159