Diversify Help page examples across all page types (#164)

## Summary

- Rebalance Help page examples from 4/3/3 (fusion/fission/twotwo only)
to cover all 6 page types:
  - **Fusion** (2): H+Li classic, Ni+H Rossi/Parkhomov
  - **Fission** (2): Uranium, Palladium (Fleischmann-Pons)
  - **Two-to-Two** (2): H+B aneutronic, D+Ni
  - **Element Data** (2): U-238 decay chain, Fe-56 binding energy peak
  - **Muller Resonance** (1): Palladium NAE analysis with filter
  - **Cascades** (1): Parkhomov Ni-LiAlH4 preset
- Extended `ExampleQuery` type to support `element-data`, `cascades`,
and `muller-resonance` query types
- Updated Help.tsx routing to navigate to all page types with correct
URL params
- Updated badge labels for new query types

Depends on #163 for Cascades/Muller URL param support.

## Test plan

- [x] Build passes
- [x] All example query tests pass (9/9)
- [ ] Click each example card on Help page — verify navigation to
correct page with correct state
- [ ] Verify U-238 example opens element data with decay chain visible
- [ ] Verify Parkhomov cascade example loads the material preset
- [ ] Verify Pd NAE example opens Muller Resonance with NAE tab filtered

🤖 Generated with [Claude Code](https://claude.com/claude-code)

---------

Co-authored-by: Claude (staging merge) <noreply@anthropic.com>

Author: bryanchriswhite

e2e/tests/help-page.spec.ts

@@ -19,7 +19,7 @@ test.describe('Help Page', () => {
 
   test('should display example query cards with names and descriptions', async ({ page }) => {
     await expect(page.getByText('Hydrogen-Lithium Fusion')).toBeVisible();
-    await expect(page.getByText('Deuterium-Deuterium Fusion')).toBeVisible();
+    await expect(page.getByText('Nickel-Hydrogen Fusion')).toBeVisible();
     await expect(page.getByText('Uranium Fission Pathways')).toBeVisible();
   });
 

src/data/exampleQueries.test.ts

@@ -10,7 +10,7 @@ describe('exampleQueries', () => {
     EXAMPLE_QUERIES.forEach(query => {
       expect(query.name).toBeTruthy();
       expect(query.description).toBeTruthy();
-      expect(['fusion', 'fission', 'twotwo']).toContain(query.queryType);
+      expect(['fusion', 'fission', 'twotwo', 'element-data', 'cascades', 'muller-resonance']).toContain(query.queryType);
       expect(query.filter).toBeDefined();
     });
   });
@@ -30,16 +30,35 @@ describe('exampleQueries', () => {
     expect(twotwo.length).toBeGreaterThan(0);
   });
 
+  it('includes element-data examples', () => {
+    const elementData = EXAMPLE_QUERIES.filter(q => q.queryType === 'element-data');
+    expect(elementData.length).toBeGreaterThan(0);
+    elementData.forEach(q => {
+      expect(q.elementZ).toBeDefined();
+    });
+  });
+
+  it('includes cascades example', () => {
+    const cascades = EXAMPLE_QUERIES.filter(q => q.queryType === 'cascades');
+    expect(cascades.length).toBeGreaterThan(0);
+    cascades.forEach(q => {
+      expect(q.materialId).toBeTruthy();
+    });
+  });
+
+  it('includes muller-resonance example', () => {
+    const muller = EXAMPLE_QUERIES.filter(q => q.queryType === 'muller-resonance');
+    expect(muller.length).toBeGreaterThan(0);
+    muller.forEach(q => {
+      expect(q.mullerParams).toBeDefined();
+    });
+  });
+
   it('includes H-Li fusion example', () => {
     const hli = EXAMPLE_QUERIES.find(q =>
       q.element1List?.includes('H') && q.element2List?.includes('Li')
     );
     expect(hli).toBeDefined();
     expect(hli!.queryType).toBe('fusion');
   });
-
-  it('includes high-energy fusion example', () => {
-    const highE = EXAMPLE_QUERIES.find(q => q.filter.minMeV && q.filter.minMeV >= 10);
-    expect(highE).toBeDefined();
-  });
 });

src/data/exampleQueries.ts

@@ -3,15 +3,22 @@ import { QueryFilter } from '../types';
 export interface ExampleQuery {
   name: string;
   description: string;
-  queryType: 'fusion' | 'fission' | 'twotwo';
+  queryType: 'fusion' | 'fission' | 'twotwo' | 'element-data' | 'cascades' | 'muller-resonance';
   filter: QueryFilter;
   element1List?: string[];
   element2List?: string[];
   outputElementList?: string[];
+  /** For element-data links: Z and optional A */
+  elementZ?: number;
+  elementA?: number;
+  /** For cascades links: material preset ID or fuel list */
+  materialId?: string;
+  /** For muller-resonance links: URL params */
+  mullerParams?: Record<string, string>;
 }
 
 export const EXAMPLE_QUERIES: ExampleQuery[] = [
-  // Fusion examples
+  // Fusion examples (2)
   {
     name: 'Hydrogen-Lithium Fusion',
     description: 'Classic LENR reaction pathway. H + Li fusion produces beryllium and helium isotopes with significant energy release.',
@@ -20,14 +27,6 @@ export const EXAMPLE_QUERIES: ExampleQuery[] = [
     element2List: ['Li'],
     filter: {},
   },
-  {
-    name: 'Deuterium-Deuterium Fusion',
-    description: 'D + D reactions are central to fusion research. Produces He-3 or tritium depending on the pathway.',
-    queryType: 'fusion',
-    element1List: ['D'],
-    element2List: ['D'],
-    filter: {},
-  },
   {
     name: 'Nickel-Hydrogen Fusion',
     description: 'Investigated in Rossi E-Cat and Parkhomov replication experiments. Ni + H reactions produce copper isotopes.',
@@ -36,56 +35,72 @@ export const EXAMPLE_QUERIES: ExampleQuery[] = [
     element2List: ['Ni'],
     filter: {},
   },
-  {
-    name: 'High-Energy Fusion (>10 MeV)',
-    description: 'Find fusion reactions releasing more than 10 MeV of energy. Shows the most energetic transmutation pathways.',
-    queryType: 'fusion',
-    filter: { minMeV: 10 },
-  },
 
-  // Fission examples
+  // Fission examples (2)
   {
     name: 'Uranium Fission Pathways',
     description: 'All fission pathways from uranium isotopes. Shows the diverse product spectrum of uranium splitting.',
     queryType: 'fission',
     filter: { elements: ['U'] },
   },
-  {
-    name: 'Iron Fission',
-    description: 'Exothermic fission pathways from iron isotopes. Iron-56 has near-peak binding energy per nucleon, so fewer exothermic fission pathways exist compared to heavier elements.',
-    queryType: 'fission',
-    filter: { elements: ['Fe'] },
-  },
   {
     name: 'Palladium Fission',
     description: 'Pd fission pathways relevant to Fleischmann-Pons cold fusion experiments using palladium electrodes.',
     queryType: 'fission',
     filter: { elements: ['Pd'] },
   },
 
-  // Two-to-Two examples
+  // Two-to-Two examples (2)
+  {
+    name: 'Proton-Boron Reactions',
+    description: 'H + B-11 produces three alpha particles in the aneutronic fusion reaction (p + B-11 → 3α), considered ideal for clean energy.',
+    queryType: 'twotwo',
+    element1List: ['H'],
+    element2List: ['B'],
+    filter: {},
+  },
   {
     name: 'Deuterium-Nickel Reactions',
-    description: 'D + Ni two-to-two reactions. The default query showing deuterium-based transmutations with nickel, lithium, aluminum, boron, and nitrogen.',
+    description: 'D + Ni two-to-two reactions showing deuterium-based transmutations with nickel, lithium, aluminum, boron, and nitrogen.',
     queryType: 'twotwo',
     element1List: ['D'],
     element2List: ['Ni', 'Li', 'Al', 'B', 'N'],
     filter: {},
   },
+
+  // Element Data examples (2)
   {
-    name: 'Proton-Boron Reactions',
-    description: 'H + B-11 produces three alpha particles in the aneutronic fusion reaction (p + B-11 → 3α), considered ideal for clean energy.',
-    queryType: 'twotwo',
-    element1List: ['H'],
-    element2List: ['B'],
+    name: 'Uranium-238 Decay Chain',
+    description: 'The most famous natural decay series (4n+2). Trace 14 steps from U-238 through radium and radon down to stable Pb-206.',
+    queryType: 'element-data',
+    elementZ: 92,
+    elementA: 238,
     filter: {},
   },
   {
-    name: 'Lithium-Lithium Reactions',
-    description: 'Li + Li two-to-two reactions. Lithium is a key element in LENR research due to its low atomic number and high reactivity.',
-    queryType: 'twotwo',
-    element1List: ['Li'],
-    element2List: ['Li'],
+    name: 'Iron-56 — Peak Binding Energy',
+    description: 'Fe-56 has the highest binding energy per nucleon of any nuclide, making it the endpoint of stellar nucleosynthesis.',
+    queryType: 'element-data',
+    elementZ: 26,
+    elementA: 56,
+    filter: {},
+  },
+
+  // Muller Resonance example (1)
+  {
+    name: 'Palladium NAE Analysis',
+    description: 'Explore palladium\'s nuclear active environment predictions — central to Fleischmann-Pons deuterium loading experiments.',
+    queryType: 'muller-resonance',
+    mullerParams: { tab: 'nae', element: 'Pd', naeFilter: 'true' },
+    filter: {},
+  },
+
+  // Cascades example (1)
+  {
+    name: 'Parkhomov Ni-LiAlH₄ Cascade',
+    description: 'Simulate the 2014 Parkhomov replication of the Rossi reactor using natural nickel with lithium aluminum hydride fuel.',
+    queryType: 'cascades',
+    materialId: 'parkhomov-2014',
     filter: {},
   },
 ];

src/i18n/locales/de.json

@@ -1057,6 +1057,7 @@
       "knownLENR": "Bekannte LENR",
       "parkhomovReactions": "Parkhomov-Rxn.",
       "showNAEOnly": "Nur Elemente mit Resonanz im NAE-Bereich anzeigen",
+      "searchPlaceholder": "Nach Element filtern (kommagetrennt)...",
       "elementsInRange": "Elemente im NAE-Bereich (0,5–2,0 nm)",
       "withDOverlap": "Mit D-Überlappung (<30%)",
       "confirmedLENR": "Bekannte LENR-aktive",

src/i18n/locales/en.json

@@ -1057,6 +1057,7 @@
       "knownLENR": "Known LENR",
       "parkhomovReactions": "Parkhomov Rxns",
       "showNAEOnly": "Show only elements with resonance in NAE range",
+      "searchPlaceholder": "Filter by element (comma delimited)...",
       "elementsInRange": "Elements in NAE range (0.5–2.0 nm)",
       "withDOverlap": "With D overlap (<30%)",
       "confirmedLENR": "Known LENR-active",

src/i18n/locales/es.json

@@ -1057,6 +1057,7 @@
       "knownLENR": "LENR conocida",
       "parkhomovReactions": "Rxns Parkhomov",
       "showNAEOnly": "Mostrar solo elementos con resonancia en rango NAE",
+      "searchPlaceholder": "Filtrar por elemento (separado por comas)...",
       "elementsInRange": "Elementos en rango NAE (0,5–2,0 nm)",
       "withDOverlap": "Con superposición D (<30%)",
       "confirmedLENR": "LENR activa conocida",

src/i18n/locales/fr.json

@@ -1057,6 +1057,7 @@
       "knownLENR": "LENR connue",
       "parkhomovReactions": "Rxns Parkhomov",
       "showNAEOnly": "Afficher uniquement les éléments avec résonance dans la plage NAE",
+      "searchPlaceholder": "Filtrer par élément (séparé par virgules)...",
       "elementsInRange": "Éléments dans la plage NAE (0,5–2,0 nm)",
       "withDOverlap": "Avec chevauchement D (<30%)",
       "confirmedLENR": "LENR active connue",

src/i18n/locales/ja.json

@@ -1057,6 +1057,7 @@
       "knownLENR": "既知のLENR",
       "parkhomovReactions": "パルホモフ反応",
       "showNAEOnly": "NAE範囲に共鳴を持つ元素のみ表示",
+      "searchPlaceholder": "元素で絞り込み（カンマ区切り）...",
       "elementsInRange": "NAE範囲内の元素 (0.5–2.0 nm)",
       "withDOverlap": "D重複あり (<30%)",
       "confirmedLENR": "既知のLENR活性",

src/i18n/locales/ru.json

@@ -1057,6 +1057,7 @@
       "knownLENR": "Известный LENR",
       "parkhomovReactions": "Реакции Пархомова",
       "showNAEOnly": "Показать только элементы с резонансом в диапазоне NAE",
+      "searchPlaceholder": "Фильтр по элементу (через запятую)...",
       "elementsInRange": "Элементы в диапазоне NAE (0,5–2,0 нм)",
       "withDOverlap": "С перекрытием D (<30%)",
       "confirmedLENR": "Известные LENR-активные",

src/i18n/locales/zh.json

@@ -1057,6 +1057,7 @@
       "knownLENR": "已知LENR",
       "parkhomovReactions": "帕尔霍莫夫反应",
       "showNAEOnly": "仅显示NAE范围内有共振的元素",
+      "searchPlaceholder": "按元素筛选（逗号分隔）...",
       "elementsInRange": "NAE范围内元素（0.5–2.0 nm）",
       "withDOverlap": "有D重叠（<30%）",
       "confirmedLENR": "已知LENR活性",