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#phonon-guide {color:var(--foreground);width:100%}
#phonon-guide * {box-sizing:border-box}
#phonon-guide h2,#phonon-guide h3,#phonon-guide h4,#phonon-guide strong {font-weight:500}
#phonon-guide p {margin:12px 0}
#phonon-guide .intro {max-width:75ch}
#phonon-guide .question {margin:0 0 18px}
#phonon-guide .key {margin:20px 0;padding:18px}
#phonon-guide .key .key-label {font-weight:500;display:block;margin-bottom:8px}
#phonon-guide .key p {margin:0}
#phonon-guide .bridge {margin:20px 0;padding-top:12px;border-top:1px solid var(--border)}
#phonon-guide .equation {margin:16px 0;padding:12px 0;display:grid;gap:8px;justify-items:center;max-width:100%;min-width:0}
#phonon-guide .eq-label {color:var(--muted-foreground);text-align:center}
#phonon-guide .math-block {display:flex;max-width:100%;justify-content:center;align-items:center;min-width:0}
#phonon-guide .math-inline {display:inline-block;vertical-align:middle;max-width:100%}
#phonon-guide .math-block svg {max-width:100%;height:auto}
#phonon-guide .math-inline svg {overflow:visible;max-width:100%}
#phonon-guide mjx-container {max-width:100%}
#phonon-guide .twocol {display:grid;grid-template-columns:1fr 1fr;gap:20px;margin:20px 0;align-items:start}
#phonon-guide .twocol>* {min-width:0}
#phonon-guide .line {padding:10px 0;border-bottom:1px solid var(--border)}
#phonon-guide .substep {display:grid;grid-template-columns:32px 1fr;gap:10px;margin-top:24px}
#phonon-guide .substep .number {font-weight:500;color:var(--muted-foreground)}
#phonon-guide .substep h4 {margin:0}
#phonon-guide .substep p:first-of-type {margin-top:8px}
#phonon-guide .plot {width:100%;display:block;overflow:visible}
#phonon-guide .plot text {fill:var(--foreground);font-size:12px;font-family:inherit}
#phonon-guide .plot .axis {stroke:var(--border);stroke-width:1;fill:none}
#phonon-guide .plot .one {stroke:var(--viz-series-1);stroke-width:2.4;fill:none}
#phonon-guide .plot .two {stroke:var(--viz-series-2);stroke-width:2.4;fill:none}
#phonon-guide .plot .three {stroke:var(--viz-series-3);stroke-width:2.4;fill:none}
#phonon-guide .plot .fill-one {fill:var(--viz-series-1)}
#phonon-guide .plot .fill-two {fill:var(--viz-series-2)}
#phonon-guide .plot .soft {fill:color-mix(in srgb,var(--viz-series-1) 12%,transparent)}
#phonon-guide .plot .frame {stroke:var(--border);fill:none}
#phonon-guide .control {display:grid;grid-template-columns:1fr 60px;gap:8px;width:100%;margin:12px 0}
#phonon-guide .control label {grid-column:1/-1}
#phonon-guide .readout {margin:12px 0;font-variant-numeric:tabular-nums}
#phonon-guide .legend {display:flex;gap:16px;flex-wrap:wrap;margin:8px 0}
#phonon-guide .legend span {display:flex;gap:6px;align-items:center}
#phonon-guide .swatch {display:inline-block;width:20px;height:3px;background:var(--viz-series-1)}
#phonon-guide .swatch.two {background:var(--viz-series-2)}
#phonon-guide .swatch.three {background:var(--viz-series-3)}
#phonon-guide .matrix-controls {display:grid;grid-template-columns:1fr 1fr;gap:12px}
#phonon-guide .matrix-controls label {display:grid;gap:6px}
#phonon-guide details {margin:20px 0;padding:10px 0;border-top:1px solid var(--border)}
#phonon-guide summary {cursor:pointer;font-weight:500}
#phonon-guide .checkpoint {padding:12px 0}
#phonon-guide .sr-only {position:absolute;width:1px;height:1px;overflow:hidden;clip:rect(0,0,0,0)}
@media(max-width:620px){#phonon-guide .twocol {grid-template-columns:1fr}#phonon-guide .substep {grid-template-columns:24px 1fr}}


/* Shared portfolio and blog styles. No build step or external assets required. */
:root {color-scheme:light; --background:#f8fafc; --foreground:#334155; --border:#e2e8f0; --muted-foreground:#64748b; --viz-series-1:#0284c7; --viz-series-2:#b45309; --viz-series-3:#7c3aed}
body {font-family:Inter,ui-sans-serif,system-ui,-apple-system,BlinkMacSystemFont,"Segoe UI",sans-serif;background:#f8fafc;color:#334155}
.section-title {font-size:1.875rem;line-height:1.2;font-weight:700;color:#1e293b;margin-bottom:2rem;letter-spacing:-.025em}
.card {background:#fff;border-radius:.75rem;box-shadow:0 4px 6px -1px #0f172a0d;border:1px solid #f1f5f9;overflow:hidden;transition:box-shadow .2s}
.card:hover {box-shadow:0 10px 20px -8px #0f172a26}
.tag {display:inline-block;background:#e0f2fe;color:#075985;font-size:.875rem;font-weight:500;padding:.25rem .75rem;border-radius:999px}
a:focus-visible,button:focus-visible,input:focus-visible,select:focus-visible,summary:focus-visible {outline:3px solid #0284c7;outline-offset:4px}
section[id],#reference-ren-2021 {scroll-margin-top:6rem}
.skip-link {position:fixed;top:-5rem;left:1rem;background:#fff;color:#0369a1;padding:.75rem;z-index:100}
.skip-link:focus {top:.5rem}
.site-nav {gap:1.5rem;flex-wrap:wrap}
.nav-links {display:flex;align-items:center;gap:1.5rem;font-weight:600;font-size:.9375rem}
.nav-links a:hover,.nav-links a[aria-current="page"] {color:#0369a1}
.section-heading {display:flex;justify-content:space-between;gap:1rem;align-items:baseline;flex-wrap:wrap;margin-bottom:2rem}
.section-heading .section-title {margin-bottom:0}
.text-link {color:#0369a1;font-weight:600;text-underline-offset:4px}
.text-link:hover {text-decoration:underline}
.post-card {padding:2rem;max-width:58rem}
.post-card h2,.post-card h3 {font-size:1.65rem;line-height:1.3;font-weight:700;color:#1e293b;margin:1rem 0}
.post-card p {max-width:70ch;margin-bottom:1.25rem;line-height:1.75}
.post-meta {font-size:.875rem;color:#64748b;margin:1rem 0}
.blog-intro {max-width:48rem;margin-bottom:3rem}
.blog-intro h1,.post-heading h1 {font-size:clamp(2.25rem,5vw,3.5rem);line-height:1.1;letter-spacing:-.04em;font-weight:800;color:#0f172a;margin:1rem 0 1.25rem}
.blog-intro>p {font-size:1.125rem;line-height:1.75;color:#475569}
.reading-shell {max-width:1000px;margin:0 auto;padding:3rem 1.5rem}
.post-heading {margin-bottom:2.5rem;max-width:48rem}
.post-heading .post-deck {font-size:1.125rem;line-height:1.75;color:#475569}
.reading-body {padding:2rem;background:#fff;border:1px solid #e2e8f0;border-radius:.75rem;line-height:1.75;min-width:0}
.post-footer {display:flex;flex-wrap:wrap;gap:1.5rem;border-top:1px solid #e2e8f0;margin-top:2rem;padding-top:1.5rem}
#phonon-guide h2 {font-size:1.5rem;line-height:1.3;color:#1e293b;font-weight:700}
#phonon-guide h3 {font-size:1.35rem;line-height:1.4;color:#1e293b;font-weight:700}
#phonon-guide h4,#phonon-guide strong {font-weight:600}
#phonon-guide a {color:#0369a1;text-decoration:underline;text-underline-offset:3px}
#phonon-guide .key {background:#f0f9ff;border-color:#bae6fd;box-shadow:none}
#phonon-guide .key-label {color:#075985;font-size:.8rem;letter-spacing:.05em;font-weight:700}
#phonon-guide .btn {padding:.65rem 1rem;border:1px solid #cbd5e1;border-radius:.5rem;font-weight:600;background:#fff;line-height:1.4}
#phonon-guide .btn-primary {color:#fff;background:#0284c7;border-color:#0284c7}
#phonon-guide .btn:hover {border-color:#0284c7}
#phonon-guide .btn:disabled {opacity:.45;cursor:default}
#phonon-guide select,#phonon-guide input[type="number"] {display:block;width:100%;min-width:0;padding:.6rem;border:1px solid #cbd5e1;border-radius:.5rem;background:#fff;color:#334155}
#phonon-guide input {accent-color:#0284c7}
#phonon-guide .form-check {display:flex;gap:.65rem;align-items:center}
#phonon-guide mjx-container {display:inline-block;line-height:0;text-indent:0;direction:ltr}
#phonon-guide mjx-container svg {display:inline-block;vertical-align:middle}
#phonon-guide mjx-container[jax="SVG"]>svg a {fill:#0369a1;stroke:#0369a1}
@media(max-width:620px) {.site-nav {gap:.75rem}.nav-links {gap:1rem;font-size:.875rem}.post-card {padding:1.5rem}.reading-shell {padding:2rem 1rem}.reading-body {padding:1.25rem 1rem}.post-heading h1 {font-size:2.25rem}.post-footer {gap:1rem}}
@media(prefers-reduced-motion:reduce) {html.scroll-smooth {scroll-behavior:auto}*,*::before,*::after {transition:none!important}}
@media print {.site-header,.site-footer,.skip-link,.post-footer {display:none!important}.reading-shell {max-width:none;padding:0}.reading-body {border:0;padding:0}.card {box-shadow:none}body {background:#fff}}

/* The reading note is a continuous article; figures remain interactive. */
#phonon-guide .article-section {margin-top:2.5rem;padding-top:1.75rem;border-top:1px solid var(--border)}
#phonon-guide .article-section>h2 {margin:0 0 1rem;font-size:1.5rem;line-height:1.35}
#phonon-guide .article-section h3 {font-size:1.125rem;line-height:1.5}
#phonon-guide .references p,.post-heading .post-meta {overflow-wrap:anywhere}

/* Markdown articles use the same slate, sky-blue, and white palette. */
.post-list {display:grid;gap:1.5rem}
.markdown-body {overflow-wrap:break-word}
#phonon-guide.markdown-body>h2 {margin:2.5rem 0 1rem;padding-top:1.75rem;border-top:1px solid var(--border);scroll-margin-top:6rem}
#phonon-guide.markdown-body h3 {margin:1.75rem 0 .75rem;font-size:1.125rem}
#phonon-guide.markdown-body ul {list-style:disc;padding-left:1.5rem;margin:1rem 0}
#phonon-guide.markdown-body ol {list-style:decimal;padding-left:1.5rem;margin:1rem 0}
#phonon-guide.markdown-body li {margin:.35rem 0}
#phonon-guide.markdown-body blockquote {margin:1.5rem 0;padding:1rem 1.25rem;border:1px solid #bae6fd;border-left:3px solid #0284c7;border-radius:.5rem;background:#f0f9ff}
#phonon-guide.markdown-body blockquote p:first-child {margin-top:0}
#phonon-guide.markdown-body blockquote p:last-child {margin-bottom:0}
#phonon-guide.markdown-body pre {overflow-x:auto;margin:1.25rem 0;padding:1rem;border-radius:.5rem;background:#f1f5f9;white-space:pre}
#phonon-guide.markdown-body code {font-size:.9em}
#phonon-guide.markdown-body :not(pre)>code {background:#f1f5f9;padding:.15rem .3rem;border-radius:.2rem}
#phonon-guide.markdown-body table {display:block;overflow-x:auto;max-width:100%;margin:1rem 0}
#phonon-guide.markdown-body th,#phonon-guide.markdown-body td {padding:.5rem .75rem;border:1px solid var(--border);text-align:left}
#phonon-guide.markdown-body img {max-width:100%;height:auto;border-radius:.5rem}
#phonon-guide.markdown-body hr {margin:2rem 0}
#phonon-guide.markdown-body mjx-container {overflow-wrap:normal}