Materials Atlas / Scientific lab
Open research notebook ↗Let the data speak.
From a specimen and its raw readings to an inspectable result. Explore the teaching controls, then bring your own measurements into a private study.
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Arrhenius analysis
Apparent activation energy within a selected range and explicit σ or σT model; does not establish a transport mechanism.
Method and limitations reference ↗An exact synthetic Arrhenius curve with 0.4 eV activation energy. Use the fit window to see which points are included.
Result and interpretation
Apparent activation energy0.4 eVStandard uncertainty / error: 1.2127e-16 eV
● Supplied / transformed points— Fitted model
- Apparent activation energy within a selected range and explicit σ or σT model; does not establish a transport mechanism.
- Unweighted ordinary least squares; independent constant-variance residuals; x treated as exact. Calibration, model and fit-range uncertainty are excluded.
- A high R² does not establish mechanism or extrapolation validity.
Fit diagnostics, included rows and conversion record
{
"details": {
"fit": {
"n": 7,
"slope": -4641.807248620128,
"intercept": 9.21034037197618,
"slope_standard_error": 1.407265237274646e-12,
"intercept_standard_error": 3.856799832176033e-15,
"slope_intercept_covariance": -5.377970177339361e-27,
"r_squared": 1,
"residual_standard_deviation": 1.3759600911837627e-15,
"rmse": 1.1628985254005945e-15,
"degrees_of_freedom": 5,
"points": [
{
"x": 0.0033333333333333335,
"observed": -6.26235045675758,
"fitted": -6.262350456757581,
"residual": 0
},
{
"x": 0.003076923076923077,
"observed": -5.072143469931906,
"fitted": -5.072143469931907,
"residual": 1.7763568394002505e-15
},
{
"x": 0.002857142857142857,
"observed": -4.051966052652756,
"fitted": -4.051966052652757,
"residual": 1.7763568394002505e-15
},
{
"x": 0.0026666666666666666,
"observed": -3.1678122910108284,
"fitted": -3.1678122910108275,
"residual": -1.7763568394002505e-15
},
{
"x": 0.0025,
"observed": -2.3941777495741396,
"fitted": -2.3941777495741405,
"residual": 0
},
{
"x": 0.002352941176470588,
"observed": -1.7115590365417672,
"fitted": -1.711559036541768,
"residual": 0
},
{
"x": 0.0022222222222222222,
"observed": -1.1047868471796596,
"fitted": -1.1047868471796605,
"residual": 0
}
],
"uncertainty_assumptions": "Unweighted ordinary least squares; independent constant-variance residuals; x treated as exact. Calibration, model and fit-range uncertainty are excluded."
},
"selected_range": {
"requested_min": 300,
"requested_max": 450,
"actual_min": 300,
"actual_max": 450,
"included_source_rows": [
3,
4,
5,
6,
7,
8,
9
],
"excluded_source_rows": [
2,
10,
11
]
}
},
"provenance": {
"total_rows": 10,
"dropped_rows": {
"temperature+conductivity": []
},
"missing_policy": "reject",
"conversions": {
"temperature": {
"input_unit": "K",
"canonical_unit": "K"
},
"conductivity": {
"input_unit": "S/m",
"canonical_unit": "S/m"
}
}
}
}