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If: 5d-6 = 9

Then: 5d = 9+6

And: 5d = 15

So: d = 3

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Q: How do you do 5d-6 equals 9 solved by two step equations?
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The electron configuration of osmium (Os) is [Xe] 4f14 5d6 6s2.


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What is meant by configure?

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4s14.34072040.078CalciumCa83914841.553.6518082[Ar] 4s26.11322144.9559ScandiumSc153928322.9918793[Ar] 3d1 4s26.56152247.867TitaniumTi166032874.540.6217914[Ar] 3d2 4s26.82812350.9415VanadiumV189033806.1118305[Ar] 3d3 4s26.74622451.9961ChromiumCr185726727.190.03517976[Ar] 3d5 4s16.76652554.938ManganeseMn124519627.430.0917747[Ar] 3d5 4s27.4342655.845IronFe153527507.875.05ancient8[Ar] 3d6 4s27.90242758.9332CobaltCo149528708.917359[Ar] 3d7 4s27.8812858.6934NickelNi145327328.90.019175110[Ar] 3d8 4s27.63982963.546CopperCu108325678.96ancient11[Ar] 3d10 4s17.72643065.39ZincZn4209077.13ancient12[Ar] 3d10 4s29.39423169.723GalliumGa3024035.91187513[Ar] 3d10 4s2 4p15.99933272.64GermaniumGe93728305.32188614[Ar] 3d10 4s2 4p27.89943374.9216ArsenicAs816135.72ancient15[Ar] 3d10 4s2 4p39.78863478.96SeleniumSe2176854.79181716[Ar] 3d10 4s2 4p49.75243579.904BromineBr-7593.12182617[Ar] 3d10 4s2 4p511.81383683.8KryptonKr-157-1533.75189818[Ar] 3d10 4s2 4p613.99963785.4678RubidiumRb396881.6318611[Kr] 5s14.17713887.62StrontiumSr76913842.5417902[Kr] 5s25.69493988.9059YttriumY152333374.4717943[Kr] 4d1 5s26.21734091.224ZirconiumZr185243776.510.02517894[Kr] 4d2 5s26.63394192.9064NiobiumNb246849278.5718015[Kr] 4d4 5s16.75894295.94MolybdenumMo2617461210.2217816[Kr] 4d5 5s17.092443*98TechnetiumTc2200487711.519377[Kr] 4d5 5s27.2844101.07RutheniumRu2250390012.3718448[Kr] 4d7 5s17.360545102.9055RhodiumRh1966372712.4118039[Kr] 4d8 5s17.458946106.42PalladiumPd1552292712.02180310[Kr] 4d108.336947107.8682SilverAg962221210.5ancient11[Kr] 4d10 5s17.576248112.411CadmiumCd3217658.65181712[Kr] 4d10 5s28.993849114.818IndiumIn15720007.31186313[Kr] 4d10 5s2 5p15.786450118.71TinSn23222707.31ancient14[Kr] 4d10 5s2 5p27.343951121.76AntimonySb63017506.68ancient15[Kr] 4d10 5s2 5p38.608452127.6TelluriumTe4499906.24178316[Kr] 4d10 5s2 5p49.009653126.9045IodineI1141844.93181117[Kr] 4d10 5s2 5p510.451354131.293XenonXe-112-1085.9189818[Kr] 4d10 5s2 5p612.129855132.9055CesiumCs296781.8718601[Xe] 6s13.893956137.327BariumBa72511403.590.0518082[Xe] 6s25.211757138.9055LanthanumLa92034696.1518393[Xe] 5d1 6s25.576958140.116CeriumCe79532576.771803101[Xe] 4f1 5d1 6s25.538759140.9077PraseodymiumPr93531276.771885101[Xe] 4f3 6s25.47360144.24NeodymiumNd101031277.011885101[Xe] 4f4 6s25.52561*145PromethiumPm110030007.31945101[Xe] 4f5 6s25.58262150.36SamariumSm107219007.521879101[Xe] 4f6 6s25.643763151.964EuropiumEu82215975.241901101[Xe] 4f7 6s25.670464157.25GadoliniumGd131132337.91880101[Xe] 4f7 5d1 6s26.150165158.9253TerbiumTb136030418.231843101[Xe] 4f9 6s25.863866162.5DysprosiumDy141225628.551886101[Xe] 4f10 6s25.938967164.9303HolmiumHo147027208.81867101[Xe] 4f11 6s26.021568167.259ErbiumEr152225109.071842101[Xe] 4f12 6s26.107769168.9342ThuliumTm154517279.321879101[Xe] 4f13 6s26.184370173.04YtterbiumYb82414666.91878101[Xe] 4f14 6s26.254271174.967LutetiumLu165633159.841907101[Xe] 4f14 5d1 6s25.425972178.49HafniumHf2150540013.3119234[Xe] 4f14 5d2 6s26.825173180.9479TantalumTa2996542516.6518025[Xe] 4f14 5d3 6s27.549674183.84TungstenW3410566019.3517836[Xe] 4f14 5d4 6s27.86475186.207RheniumRe3180562721.0419257[Xe] 4f14 5d5 6s27.833576190.23OsmiumOs3045502722.618038[Xe] 4f14 5d6 6s28.438277192.217IridiumIr2410452722.418039[Xe] 4f14 5d7 6s28.96778195.078PlatinumPt1772382721.45173510[Xe] 4f14 5d9 6s18.958779196.9665GoldAu1064280719.32ancient11[Xe] 4f14 5d10 6s19.225580200.59MercuryHg-3935713.55ancient12[Xe] 4f14 5d10 6s210.437581204.3833ThalliumTl303145711.85186113[Xe] 4f14 5d10 6s2 6p16.108282207.2LeadPb327174011.35ancient14[Xe] 4f14 5d10 6s2 6p27.416783208.9804BismuthBi27115609.75ancient15[Xe] 4f14 5d10 6s2 6p37.285684*209PoloniumPo2549629.3189816[Xe] 4f14 5d10 6s2 6p48.41785*210AstatineAt302337194017[Xe] 4f14 5d10 6s2 6p59.386*222RadonRn-71-629.73190018[Xe] 4f14 5d10 6s2 6p610.748587*223FranciumFr2767719391[Rn] 7s14.072788*226RadiumRa70017375.518982[Rn] 7s25.278489*227ActiniumAc1050320010.0718993[Rn] 6d1 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