Input interpretation
sulfate octahydrate dysprosium
Basic properties
molar mass | 757.3 g/mol formula | Dy_2H_16O_20S_3 empirical formula | Dy_2O_20S_3H_16 SMILES identifier | [Dy+3].[Dy+3].O=S(=O)([O-])[O-].O=S(=O)([O-])[O-].O=S(=O)([O-])[O-].O.O.O.O.O.O.O.O InChI identifier | InChI=1/2Dy.3H2O4S.8H2O/c;;3*1-5(2, 3)4;;;;;;;;/h;;3*(H2, 1, 2, 3, 4);8*1H2/q2*+3;;;;;;;;;;;/p-6/f2Dy.3O4S.8H2O/q2m;3*-2;;;;;;;; InChI key | NCCPVLRLAAMOQH-UHFFFAOYSA-H
Structure diagram
Structure diagram
Quantitative molecular descriptors
longest chain length | 3 atoms longest straight chain length | 3 atoms longest aliphatic chain length | 0 atoms aromatic atom count | 0 atoms H-bond acceptor count | 20 atoms H-bond donor count | 8 atoms
Elemental composition
Find the elemental composition for sulfate octahydrate dysprosium in terms of the atom and mass percents: atom percent = N_i/N_atoms × 100% mass percent = (N_im_i)/m × 100% Plan: • Write the chemical formula and gather atomic masses from the periodic table. • Determine values for N_i, m_i, N_atoms and m using these items. • Finally, compute the percents and check the results. Write the chemical formula: Dy_2H_16O_20S_3 Use the chemical formula to count the number of atoms, N_i, for each element and find the total number of atoms, N_atoms, per molecule: | number of atoms Dy (dysprosium) | 2 O (oxygen) | 20 S (sulfur) | 3 H (hydrogen) | 16 N_atoms = 2 + 20 + 3 + 16 = 41 Divide each N_i by N_atoms to calculate atom fractions. Then use the property that atom fractions must sum to one to check the work: | number of atoms | atom fraction Dy (dysprosium) | 2 | 2/41 O (oxygen) | 20 | 20/41 S (sulfur) | 3 | 3/41 H (hydrogen) | 16 | 16/41 Check: 2/41 + 20/41 + 3/41 + 16/41 = 1 Compute atom percents using the atom fractions: | number of atoms | atom percent Dy (dysprosium) | 2 | 2/41 × 100% = 4.88% O (oxygen) | 20 | 20/41 × 100% = 48.8% S (sulfur) | 3 | 3/41 × 100% = 7.32% H (hydrogen) | 16 | 16/41 × 100% = 39.0% Look up the atomic mass, m_i, in unified atomic mass units, u, for each element in the periodic table: | number of atoms | atom percent | atomic mass/u Dy (dysprosium) | 2 | 4.88% | 162.500 O (oxygen) | 20 | 48.8% | 15.999 S (sulfur) | 3 | 7.32% | 32.06 H (hydrogen) | 16 | 39.0% | 1.008 Multiply N_i by m_i to compute the mass for each element. Then sum those values to compute the molecular mass, m: | number of atoms | atom percent | atomic mass/u | mass/u Dy (dysprosium) | 2 | 4.88% | 162.500 | 2 × 162.500 = 325.000 O (oxygen) | 20 | 48.8% | 15.999 | 20 × 15.999 = 319.980 S (sulfur) | 3 | 7.32% | 32.06 | 3 × 32.06 = 96.18 H (hydrogen) | 16 | 39.0% | 1.008 | 16 × 1.008 = 16.128 m = 325.000 u + 319.980 u + 96.18 u + 16.128 u = 757.288 u Divide the mass for each element by m to calculate mass fractions. Then use the property that mass fractions must sum to one to check the work: | number of atoms | atom percent | mass fraction Dy (dysprosium) | 2 | 4.88% | 325.000/757.288 O (oxygen) | 20 | 48.8% | 319.980/757.288 S (sulfur) | 3 | 7.32% | 96.18/757.288 H (hydrogen) | 16 | 39.0% | 16.128/757.288 Check: 325.000/757.288 + 319.980/757.288 + 96.18/757.288 + 16.128/757.288 = 1 Compute mass percents using the mass fractions: Answer: | | | number of atoms | atom percent | mass percent Dy (dysprosium) | 2 | 4.88% | 325.000/757.288 × 100% = 42.92% O (oxygen) | 20 | 48.8% | 319.980/757.288 × 100% = 42.25% S (sulfur) | 3 | 7.32% | 96.18/757.288 × 100% = 12.70% H (hydrogen) | 16 | 39.0% | 16.128/757.288 × 100% = 2.130%
Elemental oxidation states
The first step in finding the oxidation states (or oxidation numbers) in sulfate octahydrate dysprosium is to draw the structure diagram. Next set every oxidation number equal to the atom's formal charge: In sulfate octahydrate dysprosium hydrogen is not bonded to a metal with lower electronegativity, so it will have an oxidation state of +1. Any element bonded to hydrogen gains the bonding electrons, decreasing their oxidation state by 1 for every bond: With hydrogen out of the way, look at the remaining bonds. There are 12 oxygen-sulfur bonds. For each of these bonds, assign the bonding electrons to the most electronegative element. First examine the oxygen-sulfur bonds: element | electronegativity (Pauling scale) | O | 3.44 | S | 2.58 | | | Since oxygen is more electronegative than sulfur, the electrons in these bonds will go to oxygen. Decrease the oxidation number for oxygen in every highlighted bond (by 1 for single bonds, 2 for double bonds, and 3 for triple bonds), and increase the oxidation number for sulfur accordingly: Now summarize the results: Answer: | | oxidation state | element | count -2 | O (oxygen) | 20 +1 | H (hydrogen) | 16 +3 | Dy (dysprosium) | 2 +6 | S (sulfur) | 3
Topological indices
vertex count | 41 edge count | 28 Schultz index | Wiener index | Hosoya index | Balaban index |