return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C2H3NO3 (Oxamic acid)

using model chemistry: mPW1PW91/6-31G(2df,p)

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no H out 1A'
1 2 yes H in 1A'

Conformer 1 (H out)

Jump to S1C2
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-358.402649
Energy at 298.15K-358.407726
Nuclear repulsion energy233.434015
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 mPW1PW91/6-31G(2df,p)
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' 3810 3638 80.10      
2 A' 3792 3620 85.66      
3 A' 3645 3480 60.69      
4 A' 1870 1786 61.82      
5 A' 1853 1769 490.77      
6 A' 1603 1530 127.51      
7 A' 1451 1385 27.00      
8 A' 1336 1275 59.89      
9 A' 1207 1153 260.04      
10 A' 1103 1053 2.08      
11 A' 790 755 10.00      
12 A' 613 585 72.18      
13 A' 532 508 0.17      
14 A' 415 397 4.09      
15 A' 268 256 15.62      
16 A" 855 816 4.36      
17 A" 692 661 117.36      
18 A" 647 618 23.59      
19 A" 446 426 13.02      
20 A" 324 310 188.93      
21 A" 73 70 3.15      

Unscaled Zero Point Vibrational Energy (zpe) 13663.8 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 13044.8 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 mPW1PW91/6-31G(2df,p)
ABC
0.19715 0.12238 0.07551

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.750 0.000
C2 -0.058 -0.788 0.000
O3 -1.093 -1.406 0.000
O4 1.031 1.372 0.000
O5 -1.210 1.291 0.000
N6 1.188 -1.300 0.000
H7 1.314 -2.295 0.000
H8 1.975 -0.676 0.000
H9 -1.083 2.249 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 N6 H7 H8 H9
C11.53912.41781.20391.32542.36973.31702.43561.8488
C21.53911.20622.41832.37691.34682.03822.03533.2049
O32.41781.20623.49712.70012.28342.56593.15353.6552
O41.20392.41833.49712.24262.67643.67792.25422.2886
O51.32542.37692.70012.24263.53054.38563.74300.9661
N62.36971.34682.28342.67643.53051.00321.00464.2132
H73.31702.03822.56593.67794.38561.00321.74945.1375
H82.43562.03533.15352.25423.74301.00461.74944.2308
H91.84883.20493.65522.28860.96614.21325.13754.2308

picture of Oxamic acid state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 O3 123.001 C1 C2 N6 110.220
C1 O5 H9 106.512 C2 C1 O4 123.219
C2 C1 O5 111.941 C2 N6 H7 119.584
C2 N6 H8 119.190 O3 C2 N6 126.779
O4 C1 O5 124.841 H7 N6 H8 121.226
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.400      
2 C 0.349      
3 O -0.360      
4 O -0.376      
5 O -0.372      
6 N -0.573      
7 H 0.296      
8 H 0.307      
9 H 0.327      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  2.065 0.663 0.000 2.169
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -33.992 -9.810 0.000
y -9.810 -27.694 0.000
z 0.000 0.000 -32.638
Traceless
 xyz
x -3.826 -9.810 0.000
y -9.810 5.620 0.000
z 0.000 0.000 -1.795
Polar
3z2-r2-3.589
x2-y2-6.298
xy-9.810
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.689 -0.212 0.000
y -0.212 6.226 0.000
z 0.000 0.000 3.101


<r2> (average value of r2) Å2
<r2> 140.037
(<r2>)1/2 11.834

Conformer 2 (H in)

Jump to S1C1
Energy calculated at mPW1PW91/6-31G(2df,p)
 hartrees
Energy at 0K-358.410633
Energy at 298.15K-358.415995
Nuclear repulsion energy235.144725
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 mPW1PW91/6-31G(2df,p)
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' 3779 3608 94.40      
2 A' 3634 3470 75.58      
3 A' 3602 3438 147.94      
4 A' 1910 1823 231.40      
5 A' 1839 1756 285.93      
6 A' 1610 1537 76.07      
7 A' 1473 1406 248.78      
8 A' 1369 1307 314.24      
9 A' 1243 1187 3.14      
10 A' 1109 1059 4.78      
11 A' 821 784 8.56      
12 A' 636 607 12.32      
13 A' 552 527 1.90      
14 A' 406 388 8.93      
15 A' 273 261 44.23      
16 A" 852 814 0.12      
17 A" 796 760 90.03      
18 A" 680 650 1.45      
19 A" 485 463 116.86      
20 A" 383 366 112.63      
21 A" 126 120 5.69      

Unscaled Zero Point Vibrational Energy (zpe) 13788.9 cm-1
Scaled (by 0.9547) Zero Point Vibrational Energy (zpe) 13164.3 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 mPW1PW91/6-31G(2df,p)
ABC
0.19178 0.12860 0.07698

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31G(2df,p)

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.009 -0.793 0.000
C2 0.000 0.745 0.000
O3 -1.067 1.332 0.000
O4 1.014 -1.448 0.000
O5 -1.222 -1.268 0.000
N6 1.224 1.275 0.000
H7 1.354 2.270 0.000
H8 2.010 0.647 0.000
H9 -1.792 -0.474 0.000

Atom - Atom Distances (Å)
  C1 C2 O3 O4 O5 N6 H7 H8 H9
C11.53762.38171.19901.31962.39803.34492.46491.8294
C21.53761.21782.41562.35461.33412.03942.01272.1672
O32.38171.21783.47212.60462.29202.59633.15261.9460
O41.19902.41563.47212.24242.73073.73342.31962.9698
O51.31962.35462.60462.24243.52834.37623.75660.9777
N62.39801.33412.29202.73073.52831.00371.00613.4867
H73.34492.03942.59633.73344.37621.00371.75104.1745
H82.46492.01273.15262.31963.75661.00611.75103.9641
H91.82942.16721.94602.96980.97773.48674.17453.9641

picture of Oxamic acid state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 O3 119.170 C1 C2 N6 113.055
C1 O5 H9 104.578 C2 C1 O4 123.470
C2 C1 O5 110.765 C2 N6 H7 120.820
C2 N6 H8 117.969 O3 C2 N6 127.775
O4 C1 O5 125.766 H7 N6 H8 121.211
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31G(2df,p) Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.417      
2 C 0.354      
3 O -0.409      
4 O -0.365      
5 O -0.387      
6 N -0.570      
7 H 0.302      
8 H 0.315      
9 H 0.343      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  1.512 2.528 0.000 2.946
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -29.791 6.978 0.000
y 6.978 -35.952 0.000
z 0.000 0.000 -32.601
Traceless
 xyz
x 4.485 6.978 0.000
y 6.978 -4.756 0.000
z 0.000 0.000 0.271
Polar
3z2-r20.541
x2-y26.161
xy6.978
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 6.973 0.066 0.000
y 0.066 5.812 0.000
z 0.000 0.000 3.091


<r2> (average value of r2) Å2
<r2> 137.414
(<r2>)1/2 11.722