Box–Behnken optimization and linear–nonlinear regression analysis of cadmium removal from textile wastewater using hydroxyapatite nanorods


Özzeybek Kaya G., Öztürk Er E., ZAMAN B. T., BAKIRDERE S.

Nanotechnology for Environmental Engineering, cilt.11, sa.3, 2026 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 3
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s41204-026-00596-z
  • Dergi Adı: Nanotechnology for Environmental Engineering
  • Derginin Tarandığı İndeksler: Scopus
  • Anahtar Kelimeler: Adsorption, Cadmium removal, Hydroxyapatite, Isotherms, Textile wastewater
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

This study investigates the applicability of synthesized hydroxyapatite nanorods as an adsorbent material for the removal of cadmium ions from textile wastewater. Hydroxyapatite nanorods were synthesized using a conventional chemical method and characterized using X-Ray Diffraction, Fourier Transform-Infrared and Scanning Electron Microscope analysis. Process optimization was performed using a Box–Behnken experimental design, and model significance was evaluated through analysis of variance. The optimum process conditions were determined to be 30 mg of adsorbent, pH 9.0 and a contact time of 20 min. Under the optimized conditions, the removal efficiency (%RE) was calculated as %91.9 ± 0.4 for 96 mg/L cadmium in textile wastewater. Various adsorption isotherm models such as Langmuir, Freundlich, Redlich-Peterson and SIPS were tested using linear and non-linear regression approaches and it was found that the adsorption process best fits the Redlich-Peterson model. The model fit as the determination coefficient was evaluated to be 0.966. Redlich-Peterson exponent (g) was obtained as 0.72, indicating adsorption on a heterogeneous surface with intermediate behavior between Freundlich and Langmuir models. The maximum adsorption capacity was estimated as 123.5 mg/g from the non-linear Langmuir model. The batch adsorption system was further evaluated for its environmental impact using Eco-Scale criteria and classified as a green analytical approach with a green score of 62. These results demonstrate that the hydroxyapatite nanorods are highly effective for cadmium removal over a wide range of cadmium concentrations and represent a promising approach for industrial wastewater treatment.