| RefNo | Title | Date |
| EC/1901/12 | Smithells, Arthur: certificate of election to the Royal Society | |
| IM/004293 | Smithells, Arthur | nd |
| NLB/52/646 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor Arthur Smithells, FRS | 2 February 1916 |
| NLB/7/877 | Copy letter from Herbert Rix, to Professor Arthur Smithells | 19 May 1893 |
| NLB/18/334 | Copy letter from Robert William Frederick Harrison, to Professor [A] Smithells | 23 February 1899 |
| NLB/17/483 | Copy letter from Robert William Frederick Harrison, to Professor Arthur Smithells, [Fellow of the Royal Society], North Grange Road, Headingley, Leeds | 8 November 1898 |
| NLB/17/484 | Copy letter from Arthur William Rucker, to Richard Tetley Glazebrook, [Fellow of the Royal Society] | 24[?] October 1898 |
| NLB/18/70 | Copy letter from Robert William Frederick Harrison, to Professor Arthur Smithells | 9 January 1899 |
| NLB/17/718 | Copy letter from Arthur William Rucker, to Professor Arthur Smithells [Fellow of the Royal Society], H M Dason and H A Wilson | [9 December 1898] |
| NLB/31/852 | Copy letter from Robert William Frederick Harrison, to Professor Arthur Smithells, Fellow of the Royal Society | 24 November 1905 |
| NLB/36/423 | Copy letter from Robert William Frederick Harrison, to Professor Arthur Schuster, Fellow of the Royal Society, Chairman of the Physics and Chemistry Committee | 28 October 1907 |
| NLB/48/526 | Copy letter from Robert William Frederick Harrison, to Professor [Arthur] Smithells, Fellow of the Royal Society | 18 July 1913 |
| NLB/48/448 | Copy letter from Robert William Frederick Harrison, to Professor [Arthur] Smithells, Fellow of the Royal Society | 7 July 1913 |
| NLB/54/317 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [Arthur] Smithells, FRS | 31 March 1917 |
| NLB/51/411 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society to Professor Arthur Smithells FRS | 15 March 1915 |
| NLB/52/639 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor Arthur Smithells, FRS | 2 February 1916 |
| NLB/56/335 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Colonel [Arthur] Smithells, FRS | 14 January 1919 |
| NLB/55/169 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Colonel [Arthur] Smithells, FRS | 04 January 1918 |
| RR/41/29 | Referee's report by Arthur Smithells, on a paper 'Researches on the chemistry of coal. Part VI.—Its benzenoid constitution as shown by its oxidation with alkaline permanganate' by William Arthur Bone, Laurence Horton and Stacey G Ward | April 1930 |
| NLB/57/835 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to Professor [Arthur] Smithells, FRS, CMG | 18 February 1920 |
| RR/37/22 | Referee's report by Arthur Smithells, on a paper 'A photographic investigation of flame movements in carbonic oxide-oxygen explosions' by William Arthur Bone and Reginald P Fraser | 1928 |
| NLB/63/760 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Professor [Arthur] Smithells, FRS, The University, Leeds | 11 December 1922 |
| NLB/66/281 | Copy letter from James Hopwood Jeans, Secretary of the Royal Society; to Prof. [Arthur] Smithells, FRS | 2 April 1924 |
| NLB/67/132 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Professor [Arthur] Smithells, FRS | 1 November 1924 |
| RR/21/26 | Referee's report by Arthur Smithells, on a paper 'Gaseous combustion at high pressures' by William Arthur Bone, Hamilton Davies, H H Gray, Herbert H Henstock and J B Dawson | 22 April 1915 |
| NLB/65/767 | Copy letter from James Hopwood Jeans, Secretary of the Royal Society; to Professor [Arthur] Smithells, FRS | 21 December 1923 |
| NLB/67/197 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to the Registrar; the University of Leeds | 12 November 1924 |
| NLB/66/214 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Prof. [Arthur] Smithells, FRS | 18 March 1924 |
| NLB/67/869 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Professor [Arthur] Smithells, FRS | 30 March 1925 |
| NLB/69/915 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Sir William [Bate] Hardy, FRS and to Prof. [Arthur] Smithells, FRS | 16 November 1926 |
| NLB/71/154 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Prof. [Arthur] Smithells, C.M.G., FRS | 23 January 1928 |
| NLB/71/721 | Copy letter from Francis Alexander Towle, Assistant Secretary of the Royal Society; to Prof. [Arthur] Smithells., C. M. G., FRS | 12 October 1928 |
| NLB/66/103 | Copy letter from James Hopwood Jeans, Secretary of the Royal Society; to Prof. [Arthur William] Crossley, FRS. | 22 February 1924 |
| NLB/22/505 | Copy letter from Robert William Frederick Harrison, to Professor Arthur Smithells, [Fellow of the Royal Society] North Grange Road, Headingley, Leeds | 24 May 1901 |
| RR/26/15 | Referee's report by Arthur Smithells, on a paper 'Researches on the chemistry of coal. Part II .— The resinic constituents and coking propensities of coals' by William Arthur Bone, A R Pearson, E Sinkinson and W E Stockings | 24 October 1921 |
| NLB/55/577 | Copy letter from Robert William Frederick Harrison, Assistant Secretary of the Royal Society; to William Foster Esq., C.I.E., Registar & Superintendent of Records, India Office | 17 June 1918 |
| RR/14/93 | Referee's report by William Augustus Tilden, on a paper 'The electrical conductivity and luminosity of flames containing vaporised salts' by Arthur Smithells, Harry Medforth Dawson and Harold Albert Wilson | 21 November 1898 |
| RR/30/13 | Referee's report by Arthur Smithells, on a paper 'Researches on the chemistry of coal.—Part III. The extraction of coals by benzene under pressure' by William Arthur Bone, A R Pearson and R Quarendon | [April 1924] |
| RR/14/94 | Referee's report by Hugh Longbourne Callendar, on a paper 'The electrical conductivity and luminosity of flames containing vaporised salts' by Arthur Smithells, Harry Medforth Dawson and Harold Albert Wilson | 24 November 1898 |
| RR/37/23 | Referee's report by Arthur Smithells, on a paper 'Researches on the chemistry of coal. Part V.—The maturing of coal considered from the standpoint of its benzene-pressure-extraction' by William Arthur Bone, Laurence Horton and Louis J Tei | July 1928 |