Scatter, 0D{1,1} dataset

We start with a 0D{1,1} correlated dataset, that is, a dataset without a coordinate grid. A 0D{1,1} dataset has no dimensions, d = 0, and two single-component dependent variables. In the following example 1, the two correlated dependent variables are the \(^{29}\text{Si}\) - \(^{29}\text{Si}\) nuclear spin couplings, \(^2J\), across a Si-O-Si linkage, and the s-character product on the O and two Si along the Si-O bond across the Si-O-Si linkage.

Let’s import the dataset.

import csdmpy as cp

domain = "https://www.ssnmr.org/sites/default/files/CSDM"
filename = f"{domain}/correlatedDataset/0D_dataset/J_vs_s.csdf"
zero_d_dataset = cp.load(filename)

Since the dataset has no dimensions, the value of the dimensions attribute of the CSDM class is an empty tuple,

print(zero_d_dataset.dimensions)

[]

The dependent_variables attribute, however, holds two dependent-variable objects. The data structure from the two dependent variables is

print(zero_d_dataset.dependent_variables[0].data_structure)

{
  "type": "internal",
  "name": "Gaussian computed J-couplings",
  "unit": "Hz",
  "quantity_name": "frequency",
  "numeric_type": "float32",
  "quantity_type": "scalar",
  "component_labels": [
    "J-coupling"
  ],
  "components": [
    [
      "-1.87378, -1.42918, ..., 25.1742, 26.0608"
    ]
  ]
}

and

print(zero_d_dataset.dependent_variables[1].data_structure)

{
  "type": "internal",
  "name": "product of s-characters",
  "unit": "%",
  "numeric_type": "float32",
  "quantity_type": "scalar",
  "component_labels": [
    "s-character product"
  ],
  "components": [
    [
      "0.8457453, 0.8534185, ..., 1.5277092, 1.5289451"
    ]
  ]
}

respectively.

Visualizing the dataset

The correlation plot of the dependent-variables from the dataset is shown below.

import matplotlib.pyplot as plt

y0 = zero_d_dataset.dependent_variables[0]
y1 = zero_d_dataset.dependent_variables[1]

plt.scatter(y1.components[0], y0.components[0], s=2, c="k")
plt.xlabel(y1.axis_label[0])
plt.ylabel(y0.axis_label[0])
plt.tight_layout()
plt.show()

Citation

1

Srivastava DJ, Florian P, Baltisberger JH, Grandinetti PJ. Correlating geminal couplings to structure in framework silicates. Phys Chem Chem Phys. 2018;20:562–571. DOI:10.1039/C7CP06486A