1. Introduction
Photosynthesis is a fundamental biochemical process that takes place in plant cells. It also occurs in algae and certain types of bacteria. The general reaction involves six molecules of carbon dioxide combining with six molecules of water, driven by solar radiation in the 380–780 nm wavelength range, and absorbed by chlorophyll pigments (types a and b, with formulas C₅₅H₇₂MgN₄O₅ and C₅₅H₇₀MgN₄O₆, respectively). This process produces glucose (C₆H₁₂O₆) and releases six molecules of oxygen as a byproduct. Photosynthesis is essential, as it provides the organic compounds that sustain plant life and supplies atmospheric oxygen necessary for the survival of most living organisms. Conversely, cellular respiration in plants occurs when glucose is metabolized in the presence of six molecules of oxygen, generating adenosine triphosphate (ATP) and releasing heat. This process effectively reverses photosynthesis, resulting in the formation of six molecules of carbon dioxide and six molecules of water (Equation 1). The fundamental equation for photosynthesis was first published in 1893 by American plant scientists Charles Reid Barnes and Conway MacMillan, both of whom specialized in plant eco-physiology.

The key inputs for this reaction are carbon dioxide from the atmosphere and water absorbed from the soil through plant roots. The overall equation simplifies the outputs to sugar - commonly represented by the empirical formula CH₂O—and oxygen gas (O₂), which is released into the air. This basic model is widely used in leading academic plant biology textbooks as a concise explanation of this essential biochemical process. The concept of a reversible equilibrium between photosynthesis and cellular respiration in plants has been previously described [
1]. A similar representation appears in other widely used academic references, including the most recent edition of
Introduction to Plant Physiology [
2]. Modern eco-physiology texts also continue to present this classic photosynthesis model in its fundamental form. For instance,
Teaming with Nutrients includes the same formula [
3], and the companion reference
Teaming with Microbes offers a comparable depiction of plant photosynthesis. Interestingly, recent literature has also noted that certain soil microbes - specifically protozoa such as flagellates - exhibit autotrophic behavior and are capable of photosynthesis as well [
4].
The production of glucose in the classical photosynthesis equation is a logical outcome, representing a simple rearrangement of carbon dioxide and water atoms into a carbon–hydrogen–oxygen (C–H–O) structure - specifically, C₆H₁₂O₆. Carbon, hydrogen, and oxygen are the fundamental elements that form the backbone of organic molecules. Glucose is one of the most essential carbohydrate compounds synthesized by plants and also by honeybees [
5]. The traditional photosynthesis model, however, conceals the complex biochemical and photo physical mechanisms by which light energy within the 380–780 nm spectrums drives the conversion of these basic elements into an organic molecule like simple sugar. As a result, the conventional expression of photosynthesis often serves more as a simplified, linguistic description of a botanical biochemical reaction rather than a comprehensive scientific definition that captures its full mechanistic and applied complexity.
As a result, agrobiologists and agro-chemists began to explore how complex nutrient interactions - whether present in the soil solution or applied via foliar feeding - affect this critical biological process. Mulder’s chart, which illustrates the synergistic and antagonistic relationships between soil nutrients and their influence on plant uptake, has previously been referenced [
6]. For optimal growth and development, plants require a range of macronutrients, including nitrogen, potassium, calcium, phosphorus, and magnesium, in addition to the basic elements carbon, hydrogen, and oxygen [
3]. Nitrogen is especially crucial for the synthesis of chlorophyll
a and the formation of nucleotides - the building blocks of DNA and RNA. On average, nitrogen constitutes about 4% of a plant’s dry mass, underscoring its significance in promoting healthy vegetative growth. Since atmospheric nitrogen (N₂) cannot be directly assimilated by plants, it must first be converted into bioavailable forms such as nitrate (NO₃⁻) [
3].
Potassium often referred to as potash, plays a vital role in plant physiology by regulating enzymatic activity and supporting starch synthesis - starch being the primary storage form of glucose produced through photosynthesis. Potassium also influences water transport and stomata function, both of which are essential for maintaining photosynthetic efficiency and turgor pressure [
3]. This explains why potassium is essential for robust plant nutrition and contributes significantly to flowering and fruit development. Similarly, calcium functions as a structural component of cell walls and is involved in activating plant enzymes and facilitating cell division [
3].
Taken together, these insights reveal that the conventional model of photosynthesis cannot be fully understood in isolation from the broader context of plant nutrition and physiological development. Scientists have explored advanced models of photosynthesis from various perspectives. In the research article
Recent Advances in Understanding and Improving Photosynthesis [
7], the authors concluded that enhancing photosynthetic water use efficiency (WUE) could significantly boost crop productivity. Similarly, in another study titled
Perspectives on Improving Photosynthesis to Increase Crop Yield [
8], the authors emphasized that photosynthetic efficiency can be maximized through a comprehensive approach, improving plant resilience against environmental fluctuations and stresses. This would ultimately support sustainable crop yields under diverse abiotic and biotic stress conditions. The latter research particularly highlighted the importance of improving both water use efficiency (WUE) and nitrogen use efficiency (NUE) under abiotic stress to optimize photosynthetic performance in plants. In conclusion, both of these pioneering studies underscore the positive role that water and nutrient management play in enhancing photosynthesis. These benefits can be achieved through foliar nutrition techniques, as demonstrated by the research conducted at Debrecen University [
9].
The theoretical framework presents an improved photosynthesis model that incorporates nutrient supplementation as a crucial factor in optimizing carbon fixation and oxygen release. The updated general equation for photosynthesis is illustrated in (Equation 2).
This article proposes that the photosynthesis equation can be refined and enhanced through the incorporation of foliar and root treatment compositions. The research presents updated models of photosynthesis equations based on natural foliar and root treatments, including aspirin (acetylsalicylic acid), dry yeast, baking soda, Epsom salt, and hydrogen peroxide.