Final answer:
Dmitri Mendeleev's periodic table replaced Döbereiner's ideas because it provided a more comprehensive framework, correctly predicted undiscovered elements, and explained periodicity in element properties, earning wide scientific acceptance. Mendeleev is honored by element 101, named mendelevium.
Step-by-step explanation:
Döbereiner's ideas were replaced by those of Dmitri Mendeleev because Mendeleev developed a more comprehensive and predictive periodic table. Mendeleev arranged the elements based on increasing atomic mass and left intentional gaps for undiscovered elements, unlike Döbereiner. Moreover, Mendeleev predicted the existence and properties of elements that were not yet discovered, such as gallium and germanium, which were found to closely match his predictions. This predictive power and the subsequent discoveries that validated his periodic table played a significant role in earning Mendeleev's periodic table wide acceptance in the scientific community. Mendeleev's insights also provided explanations for some discrepancies in atomic masses and revealed the repeating pattern of element properties, which became known as the periodic law. In recognition of his work, element number 101, synthesized in 1955, was named mendelevium in his honor.