In order to scale down concentration and molecular size, we next examined ATP. The conventional method of Fourier transforming the spin counting profile generated MQCOs of 2 for the even spin counting profile (Figure ) and 1 and 3 for the powdered ATP odd spin counting profile (Figure ) across all three alpha, beta, and gamma phosphorous chemical shift environments at room temperature. However this method also generated additional MQCOs of 2, 4, and 5 for the odd spin counting profile with comparable magnitudes. The Fourier transformation technique produces all frequencies, thus results in all possible MQ-COs. We find and will show that this analysis procedure is not accurate in extracting the lower bound of frequencies present in the MQCO profile (highest visual MQCO). Instead we employed a method of multi-cosine function fitting where the spin counting profile takes the form of multi-cosine waveforms as explained by the Average Hamiltonian Theory of Olyer and Tycko , further explained in the Supporting Information Section VI.