{"product_id":"the-copper-fermi-surface-plate-057-physics-poster","title":"The Copper Fermi Surface – Plate 057 Physics Poster","description":"\u003cp\u003ePlate 57 speaks for itself: \u003cem\u003e“Sphere with necks.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eCopper's conduction electrons fill a nearly spherical Fermi surface, but it bulges out to touch the Brillouin zone faces along ⟨111⟩, forming necks. Pippard mapped it in 1957.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eE_F = ħ² k_F² \/ (2 m)\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eE_F: Fermi energy, J (quoted in eV)\u003c\/li\u003e\n\u003cli\u003eħ: reduced Planck constant, J s\u003c\/li\u003e\n\u003cli\u003ek_F: Fermi wavevector, m⁻¹\u003c\/li\u003e\n\u003cli\u003em: electron mass, kg\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eFree-electron model: E_F ≈ 7.0 eV. Necks reach the zone faces along ⟨111⟩.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003eA. B. Pippard, Phil. Trans. R. Soc. A 250, 325 (1957).\u003c\/li\u003e\n\u003cli\u003eN. W. Ashcroft, N. D. Mermin, Solid State Physics, Table 2.1.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 057, “The Copper Fermi Surface”: the pixel-art plate with its slogan “Sphere with necks.”, the key equation and the facts panel shown above. Pixelated Physics. Physics. Personified.\u003c\/p\u003e","brand":"Printify","offers":[{"title":"9'' x 12\" (Vertical) \/ Matte","offer_id":50962539216999,"sku":"31102065217395987101","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50962539249767,"sku":"30387214692439210120","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50962539282535,"sku":"21217481584601227212","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50962539315303,"sku":"17927582175020658985","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50962539348071,"sku":"31426243323434839545","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50962539380839,"sku":"73231769136513699222","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50962539413607,"sku":"33482265515968730313","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50962539446375,"sku":"27267824186842359311","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50962539479143,"sku":"28673565001615455793","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/14267145799258428730_2048.jpg?v=1793634887","url":"https:\/\/pixelatedphysics.com\/zh-hans\/products\/the-copper-fermi-surface-plate-057-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}