{"product_id":"the-balmer-ladder-plate-041-physics-poster","title":"The Balmer Ladder – Plate 041 Physics Poster","description":"\u003cp\u003ePlate 41 speaks for itself: \u003cem\u003e“Hydrogen sings four notes we can see.”\u003c\/em\u003e\u003c\/p\u003e\u003ch3\u003eThe Physics\u003c\/h3\u003e\u003cp\u003eHydrogen's visible lines come from electrons dropping to level n = 2. Balmer found the pattern in 1885, before anyone knew why; Bohr's model and quantum mechanics later explained it.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003e1\/λ = R_H (1\/4 − 1\/n²)\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eλ: wavelength, m\u003c\/li\u003e\n\u003cli\u003eR_H: Rydberg constant for hydrogen ≈ 1.09678×10⁷ m⁻¹\u003c\/li\u003e\n\u003cli\u003en: upper level, 3, 4, 5, …, dimensionless\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003eVisible lines (air): 656.28, 486.13, 434.05, 410.17 nm. Series limit 364.6 nm. J. Balmer, 1885.\u003c\/p\u003e\u003ch3\u003eSources\u003c\/h3\u003e\u003cul\u003e\n\u003cli\u003eJ. J. Balmer, Ann. Phys. 261, 80 (1885).\u003c\/li\u003e\n\u003cli\u003eNIST Atomic Spectra Database (H I).\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch3\u003eOn the poster\u003c\/h3\u003e\u003cp\u003ePlate 041, “The Balmer Ladder”: the pixel-art plate with its slogan “Hydrogen sings four notes we can see.”, 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":50961924980839,"sku":"16439214842144758916","price":19.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Fine Art","offer_id":50961925013607,"sku":"11637190306606751863","price":29.99,"currency_code":"USD","in_stock":true},{"title":"9'' x 12\" (Vertical) \/ Semi Glossy","offer_id":50961925046375,"sku":"12490635378706825299","price":19.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Fine Art","offer_id":50961925079143,"sku":"89638416246705655750","price":44.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Semi Glossy","offer_id":50961925111911,"sku":"89893536858033470348","price":29.99,"currency_code":"USD","in_stock":true},{"title":"18″ x 24″ (Vertical) \/ Matte","offer_id":50961925144679,"sku":"10539576408962002118","price":29.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Matte","offer_id":50961925177447,"sku":"26834381424131553807","price":69.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Fine Art","offer_id":50961925210215,"sku":"31113234082463781323","price":119.99,"currency_code":"USD","in_stock":true},{"title":"36'' x 48\" (Vertical) \/ Semi Glossy","offer_id":50961925242983,"sku":"91738420853533502865","price":69.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0596\/8746\/9159\/files\/6599299695286908950_2048.jpg?v=1793633857","url":"https:\/\/pixelatedphysics.com\/it\/products\/the-balmer-ladder-plate-041-physics-poster","provider":"Pixelated Physics","version":"1.0","type":"link"}