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Calculated density and molar volume are consistent with the experimental data and the good agreement between calculated and measured density provides validation of the presence of F Ca(n) units from 19F MAS NMR studies.

Calculated density of states indicate the existence of covalent-like bonding in Co3(Al,Mo,Nb).

Calculated density of our diluted 0.1%% solution at 20 °C is 1.0078 1.009 mg/ml.

Calculated density of states of anatase TiO2 with one oxygen vacancy per 16 oxygen atoms shows the similar Fermi-edge at below 2 eV [33].

Calculated density contrast model beneath Aso volcano in horizontal slices at depths of 3.1, 4.9, and 8.2 km: (a), (b), (c), and (d) were generated using homogeneity parameters of 0.2, 0.4, 0.6, and 0.8, respectively (Additional file 5: Table S2).

Calculated density contrast model beneath Aso volcano in horizontal slices at depths of 3.1, 4.9, and 8.2 km: (a), (b), and (c) use mean grid lengths of 500 , 750 and 1000 m, respectively (Additional file 5: Table S3).

Calculated density contrast models beneath Aso volcano in horizontal slices at depths of 3.1, 4.9, and 8.2 km: (a), (b), (c), (d), (e), and (f) correspond to density contrasts of ±0.15, ±0.20 ±0.30, ±0.35, ±0.35, and ±0.40 g/cm3, respectively (Additional file 5: Table S1).

D c is the maximum calculated density (which can be calculated for any permitted composition); vacant interlayer sites would of course result in lower values.

Data to be collected: ○ Record LAPC4 xenograft tumor maintenance (passages, tumor incidence, latency, tumor caliper measurements (and calculated volume), tumor weight at harvest, time of harvest, and euthanasia method, calculated density of each tumor based on volume and weight).

Fig. 3 Calculated density contrast model beneath Aso volcano.

The calculated density and temperature profiles have been compared with experiments.

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