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docs/dataset_statistics.md
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| 1 |
+
# Dataset Statistics
|
| 2 |
+
|
| 3 |
+
Comprehensive statistics for Scandium Dataset v0.0.0.
|
| 4 |
+
|
| 5 |
+
## Overview
|
| 6 |
+
|
| 7 |
+
| Metric | Value |
|
| 8 |
+
|--------|-------|
|
| 9 |
+
| Total entries | 266,732 |
|
| 10 |
+
| Unique formulas | 148,141 |
|
| 11 |
+
| Sources | 3 |
|
| 12 |
+
| Families | 10 |
|
| 13 |
+
| Carrier elements | 7 (Li, Na, Mg, Ca, Zn, Al, K) |
|
| 14 |
+
|
| 15 |
+
## Source Distribution
|
| 16 |
+
|
| 17 |
+
| Source | Count | % | Gold | Validated | Raw |
|
| 18 |
+
|--------|-------|---|------|-----------|-----|
|
| 19 |
+
| OQMD | 171,780 | 64.4% | 29,068 | 114,776 | 27,936 |
|
| 20 |
+
| MP | 69,279 | 26.0% | 43,607 | 25,606 | 66 |
|
| 21 |
+
| JARVIS | 25,673 | 9.6% | 23,567 | 0 | 2,106 |
|
| 22 |
+
|
| 23 |
+
## Tier Distribution
|
| 24 |
+
|
| 25 |
+
| Tier | Count | % |
|
| 26 |
+
|------|-------|---|
|
| 27 |
+
| Gold | 96,242 | 36.1% |
|
| 28 |
+
| Strict Gold | 56,966 | 21.4% |
|
| 29 |
+
| Validated | 140,382 | 52.6% |
|
| 30 |
+
| Raw | 30,108 | 11.3% |
|
| 31 |
+
|
| 32 |
+
## Family Distribution
|
| 33 |
+
|
| 34 |
+
| Family | Count | % | Battery |
|
| 35 |
+
|--------|-------|---|---------|
|
| 36 |
+
| intermetallic | 166,930 | 62.6% | No |
|
| 37 |
+
| layered_oxide | 42,015 | 15.8% | Yes |
|
| 38 |
+
| halide_sse | 18,803 | 7.0% | Yes |
|
| 39 |
+
| sulfide_sse | 16,359 | 6.1% | Yes |
|
| 40 |
+
| oxide | 11,928 | 4.5% | Partial |
|
| 41 |
+
| unknown | 4,949 | 1.9% | Unknown |
|
| 42 |
+
| polyanion | 4,519 | 1.7% | Yes |
|
| 43 |
+
| borohydride | 646 | 0.2% | Yes |
|
| 44 |
+
| nasicon | 560 | 0.2% | Yes |
|
| 45 |
+
| garnet | 23 | <0.01% | Yes |
|
| 46 |
+
|
| 47 |
+
## Property Distributions
|
| 48 |
+
|
| 49 |
+
### Formation Energy (eV/atom)
|
| 50 |
+
|
| 51 |
+
| Stat | Value |
|
| 52 |
+
|------|-------|
|
| 53 |
+
| Mean | −0.58 |
|
| 54 |
+
| Median | −0.20 |
|
| 55 |
+
| Std | 1.23 |
|
| 56 |
+
| Min | −5.46 |
|
| 57 |
+
| Max | 5.34 |
|
| 58 |
+
| Coverage | 100% |
|
| 59 |
+
|
| 60 |
+
### Energy Above Hull (eV/atom)
|
| 61 |
+
|
| 62 |
+
| Stat | Value |
|
| 63 |
+
|------|-------|
|
| 64 |
+
| Mean | 0.39 |
|
| 65 |
+
| Median | 0.24 |
|
| 66 |
+
| Std | 0.47 |
|
| 67 |
+
| Min | 0.00 |
|
| 68 |
+
| Max | 6.09 |
|
| 69 |
+
| Coverage | 90.4% (missing for JARVIS) |
|
| 70 |
+
|
| 71 |
+
### Band Gap (eV)
|
| 72 |
+
|
| 73 |
+
| Stat | Value |
|
| 74 |
+
|------|-------|
|
| 75 |
+
| Mean | 0.58 |
|
| 76 |
+
| Median | 0.00 |
|
| 77 |
+
| Std | 1.06 |
|
| 78 |
+
| Min | 0.00 |
|
| 79 |
+
| Max | 9.41 |
|
| 80 |
+
| Coverage | 99.9% (151 missing) |
|
| 81 |
+
|
| 82 |
+
## Structural Statistics
|
| 83 |
+
|
| 84 |
+
| Metric | Mean | Median | Min | Max |
|
| 85 |
+
|--------|------|--------|-----|-----|
|
| 86 |
+
| Volume (ų) | 249.6 | 93.9 | 15.2 | 19,406.8 |
|
| 87 |
+
| Density (g/cm³) | 6.10 | 6.01 | 0.54 | 22.38 |
|
| 88 |
+
| Nsites | 15.0 | 4.0 | 1 | 404 |
|
| 89 |
+
|
| 90 |
+
## Space Groups
|
| 91 |
+
|
| 92 |
+
| Metric | Value |
|
| 93 |
+
|--------|-------|
|
| 94 |
+
| Unique space groups | 221 |
|
| 95 |
+
| Most common | 225 (Fm-3m), 139 (I4/mmm), 123 (P4/mmm) |
|
| 96 |
+
| Missing | 16 (all OQMD — spglib failed) |
|
| 97 |
+
|
| 98 |
+
## Quality Scores
|
| 99 |
+
|
| 100 |
+
| Range | Count | % |
|
| 101 |
+
|-------|-------|---|
|
| 102 |
+
| ≥ 80 | 83,649 | 31.4% |
|
| 103 |
+
| ≥ 70 | 229,650 | 86.1% |
|
| 104 |
+
| ≥ 60 | 261,923 | 98.2% |
|
| 105 |
+
| ≥ 50 | 266,730 | 100% |
|
| 106 |
+
|
| 107 |
+
Mean: 77.4 | Median: 78.0 | Std: 7.6
|
| 108 |
+
|
| 109 |
+
## Quality Score Calibration
|
| 110 |
+
|
| 111 |
+
| Score Bin | N | Valid% | SG% | Complete% | FE Out% | FE MAE |
|
| 112 |
+
|-----------|---|--------|-----|-----------|---------|--------|
|
| 113 |
+
| 50-60 | 4,807 | 0.1% | 0.1% | 0.0% | 0.31% | — |
|
| 114 |
+
| 60-70 | 32,273 | 27.9% | 2.0% | 0.0% | 0.01% | 0.80 |
|
| 115 |
+
| 70-80 | 146,001 | 77.4% | 8.8% | 0.1% | 0.00% | 0.23 |
|
| 116 |
+
| 80-90 | 83,649 | 85.2% | 97.4% | 82.7% | 0.00% | 0.18 |
|
| 117 |
+
|
| 118 |
+
Score 80-90 is research-grade: 97.4% have space group, 0% outliers, 0.18 eV MAE.
|
| 119 |
+
|
| 120 |
+
## Cross-Source Agreement
|
| 121 |
+
|
| 122 |
+
| Pair | Overlap | FE MAE | BG MAE | Density MAE | SG Agreement |
|
| 123 |
+
|------|---------|--------|--------|-------------|--------------|
|
| 124 |
+
| MP ↔ JARVIS | 11,741 | 0.20 eV | 0.29 eV | 7.5% | 78.6% |
|
| 125 |
+
| MP ↔ OQMD | 225 | 0.21 eV | 0.15 eV | 9.4% | N/A |
|
| 126 |
+
| OQMD ↔ JARVIS | 339 | 0.23 eV | 0.10 eV | 8.8% | N/A |
|
| 127 |
+
|
| 128 |
+
## Repairs
|
| 129 |
+
|
| 130 |
+
| Repair | Entries | Status |
|
| 131 |
+
|--------|---------|--------|
|
| 132 |
+
| OQMD coordinate artifact | 137,405 | ✅ |
|
| 133 |
+
| OQMD space group computation | 171,764 | ✅ |
|
| 134 |
+
| OQMD volume fix | 47,807 | ✅ |
|
| 135 |
+
| OQMD density fix | 47,807 | ✅ |
|
| 136 |
+
| JARVIS volume fix | 25,673 | ✅ |
|
| 137 |
+
| Duplicate removal | 31,997 | ✅ |
|
| 138 |
+
|
| 139 |
+
## Outliers
|
| 140 |
+
|
| 141 |
+
- **FE outliers** (>|10| eV/atom): 17 entries (all OQMD)
|
| 142 |
+
- **EaH outliers** (>5 eV/atom): 87 entries (all MP)
|
| 143 |
+
- **Volume outliers** (>10,000 ų): 3 entries (supercells)
|
| 144 |
+
|
| 145 |
+
## Element Frequency (Top 10)
|
| 146 |
+
|
| 147 |
+
| Element | % of entries |
|
| 148 |
+
|---------|-------------|
|
| 149 |
+
| O | 27% |
|
| 150 |
+
| Li | 25% |
|
| 151 |
+
| Mg | 23% |
|
| 152 |
+
| Zn | 19% |
|
| 153 |
+
| Na | 16% |
|
| 154 |
+
| Ca | 15% |
|
| 155 |
+
| Al | 14% |
|
| 156 |
+
| Si | 12% |
|
| 157 |
+
| K | 11% |
|
| 158 |
+
| S | 10% |
|